You want to play a game in a carnival. According to the rule, you have to pay $5 each time for playing the game once. You will win $50 if the ball is landed at ‘00’, $25 at ‘0’ and $3 on each number from 1 – 36. Assuming that the probability is equal for the ball landing into each number, what is the expected value for each time you play this game? Interpret the result.

Answers

Answer 1

The expected value for each time you play this game is -2.14 which means that on average, you will lose $2.14 every time you play this game.

So, it is not a profitable game to play.

Given: According to the rule, you have to pay $5 each time for playing the game once.

You will win $50 if the ball is landed at ‘00’, $25 at ‘0’ and $3 on each number from 1 – 36.

The probability is equal for the ball landing into each number.

To find: The expected value for each time you play this game.

Solution:

Probability of getting each number = 1/38 (Probability of getting any specific number out of 38 possible outcomes)

Probability of getting ‘00’ = 1/38

Probability of getting ‘0’ = 1/38

Total probability of winning = Probability of getting ‘00’ + Probability of getting ‘0’ + Probability of getting any number from 1 to 36

= 1/38 + 1/38 + (36/38 × 1/38)

= 1/19.1

Expected value = (Total probability of winning) × (Amount won) - (Total probability of losing) × (Amount lost)

Expected value = (1/19.1 × 50) + (1/19.1 × 25) + (36/19.1 × 3) - (18.1/19.1 × 5)

= 2.62 - 4.76

= -2.14

Interpretation: The expected value for each time you play this game is -2.14 which means that on average, you will lose $2.14 every time you play this game.

So, it is not a profitable game to play.

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Related Questions

CAN ANYONE PLEASE HELP

Answers

Answer: Its spring break relax PLS

Step-by-step explanation:

Charlotte wants to paint a room that measures 15 ft wide, 20 ft long, and 8 ft high. One gallon of the paint she selects covers 400 ft² and costs $16.99. The sales tax is 6%. She plans to paint the ceiling and the four walls with the same paint. She ignores the area of the two windows and the door into the room when she estimates the amount of paint she needs. How many gallons of paint should she buy? How much will it cost?

Answers

The amount of paint she should buy is 2 gallons and it will cost $36.02.

What is area of shape?

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The room takes the shape of a cuboid with the dimensions 30 by 15 by 8

Charlotte will be left with 5 surfaces to paint i.e

The ceiling and the other 4 walls.

Therefore the total surface area of the portion to be painted = lh + lh + lb + bh + bh

where l = 20, b = 15 , h = 8

= 20 × 8 +120× 8 + 20×15 + 15× 8 + 15 × 8

= 160+160+300+120+120

= 860 ft²

Let's assume the windows and doors take area of 60ft²

The area to be painted is 800ft²

1 gallon of paint will go for 400ft²

therefore the number of gallon for 800ft² = 800/400 = 2 gallons.

The cost of 1 gallon is $ 16.99

2 gallons = 2 × 16.99 = $33.98

Sales tax = 6%

= 6/100 × 33.98

= $2.04

Total cost = 33.98 + 2.04

= $36.02

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Help me please!!! ...................
........

Answers

Answer:

P = P (1 + r / n) ^ rt

Step-by-step explanation:

what is the value of y

Answers

Answer:

y= -6

Step-by-step explanation:

-2y - 5y= -7y

-7y=42

42/-7=

y= -6

Help me with this please

Answers

Answer:

21 degrees.

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

as BC ║DE ⇒ ∠CBA=∠BAD

⇒ ∠x=180-∠BAD -∠CAB

∠x=180-105-54=21

A.B., a 68-year-old man, is admitted to your medical floor with a diagnosis of pleural effusion. He relates having shortness of breath; pain in his chest; weakness; and a dry, irritating cough. His vital signs (VS) are 142 / 82,118, respirations 38 and labored and shallow, 102.1

F(38.9∘C)∘ F(38.9 ∘ C), and Spo2
Spo 2​ 85% on room air. Chest �x-ray examination shows a large pleural effusion and pulmonary infiltrates in the right lower lobe consistent with pneumonia.
The provider performs a thoracentesis and drains 1500 mL of fluid. A specimen for culture and sensitivity (C&S) is sent to the lab, and A.B. is started on ceftriaxone 500 mg IV every 12 hours. The pleural C&S results show a large amount of Klebsiella organism growth that is not sensitive to ceftriaxone.
It is now the end of your shift and A.B.'s condition has stabilized. Using the SBAR framework, describe the bedside change-of-shift report you will give the oncoming nurse.

Answers

During the change-of-shift report, you would provide an SBAR (Situation, Background, Assessment, Recommendation) framework report to the oncoming nurse for A.B., a 68-year-old man admitted with pleural effusion and pneumonia.

In the Situation section, you would start by stating that A.B., a 68-year-old man, was admitted with pleural effusion and pneumonia. You would mention his presenting symptoms of shortness of breath, chest pain, weakness, and a dry, irritating cough. Provide the vital signs: blood pressure 142/82 mmHg, heart rate 118 beats per minute, respirations 38 breaths per minute (labored and shallow), temperature 102.1°F (38.9°C), and Spo2 of 85% on room air.

In the Background section, you would mention that a thoracentesis was performed, draining 1500 mL of fluid, and a specimen for culture and sensitivity (C&S) was sent to the lab. Explain that A.B. was started on ceftriaxone 500 mg IV every 12 hours, but the pleural C&S results showed a large amount of Klebsiella organism growth that is not sensitive to ceftriaxone.

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I have 10 shirts, 9 pants, 4 shoes, and 1 hats. How many unique outfits do I have?​

Answers

360 outfits i think i wouldnt take that as fact tho

The following represents a sequence with an exponential pattern. FInd the missing numbers of the sequence.

20, __, __, __, 12, 500

Answers

The complete sequence is:

20, 0.6, 41.6667, 69.4444, 12, 500.

To find the missing numbers in the given sequence, let's analyze the pattern and fill in the gaps.

Looking at the sequence, we can observe that there is an exponential pattern occurring.

Let's break it down step by step:

Starting with the first number, 20, we can see that each subsequent number is decreasing or increasing exponentially.

If we divide the second number by the first number, we get 12/20 = 0.6. Similarly, dividing the third number by the second number gives us 500/12 = 41.6667.

We can see that there is a decreasing exponential pattern from the first to the third number.

Let's continue this pattern:

If we divide the fourth number by the third number, we get an approximate value of 41.6667/0.6 = 69.4444.

So, we can deduce that the missing numbers in the sequence are approximately 0.6, 41.6667, and 69.4444.

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Find the sum of all angles of the quadrilateral if sides are in ratio 2:3:6:9​

Answers

2  =

3  =

6 : 9  =

Step-by-step explanation:

Here are some solutions! Hope this helps.

-Lei

add me on imessage 3377074503

Answers

if i was you i wouldnt do that that could be inaporpiet

There is a cohort study assessing the potential association between exercise and future cardiac events. A risk ratio less than one suggests: There does not appear to be an association between exercise and future cardiac events. There appears to be a positive association between exercise and future cardiac events. There appears to be a negative association between exercise and future cardiac events. None of the answers listed here are correct.

Answers

A risk ratio less than one suggests a negative association between exercise and future cardiac events.

In a cohort study, the risk ratio (also known as relative risk) is a measure used to assess the association between an exposure (in this case, exercise) and an outcome (future cardiac events). The risk ratio compares the risk of experiencing the outcome in the exposed group (those who exercise) to the risk in the unexposed group (those who do not exercise).

When the risk ratio is less than one, it indicates a lower risk of the outcome among the exposed group compared to the unexposed group. In this context, a risk ratio less than one suggests a negative association between exercise and future cardiac events. It implies that individuals who engage in regular exercise have a reduced risk of experiencing cardiac events compared to those who do not exercise.

It is important to note that a risk ratio less than one does not imply a complete absence of risk or a guarantee of protection. It simply indicates a lower relative risk among individuals who exercise. Other factors and confounding variables should also be considered in interpreting the results of a cohort study and drawing conclusions about the association between exercise and future cardiac events.

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please help this is myhrw.com hw

Answers

Answer:

No a triangle CAN’T have 2 obtuse angles. I dont know about the drop down menus since I can’t see the choices but there can’t be 2 obtuse angles in a triangle. I can guess two of them anyway

The second drop down one is “greater”

The last option is 180

Im not sure about he first since dropdowns aren’t presented

Pls help will mark brainliest

Answers

Answer:

9) (68 + 160)/2 = 114°

10) 80/2 = 40°

11) 105 x 2 = 210°

12) 80 x 2 = 160°

13) (360 - 180 - 108)/2 = 36°

14) (360 - 69 - 95)/2 = 98°

I really need this answer right away. Im taking an exam.

How long has the polygraph machine been in use?
A.Over 2000 years
B. Over 1000 years
C.Over 200 years
D. Over 100 years

Answers

Answer: 100 years

Step-by-step explanation:

You deposited $700 in a savings account 4 years ago. The simple interest rate you earn is 4%. What is the amount of interest that you earned in those 4 years?

Answers

Answer: $112

Step-by-step explanation:

700x0.04=28x4=112

9. The lengths of the sides of a triangle are 8 and 12. The length of the third side must be between what
two numbers? Repeat with other side lengths and write a generalization for sides of lengths a and b,
where b>a.

Answers

Answer:

b>a

Step-by-step explanation:

correct just divide then subtract

help ASAP ill mark brainliest

Answers

Answer:

Mean = 16.090909090909

Median = 16

Mode = 16

Range = 5



Mean ⎯⎯⎯
x
¯
16.090909090909
Median ˜
x
~
16
Mode 16
Range 5
Minimum 14
Maximum 19
Count n 22
Sum 354
Quartiles Quartiles:
Q1 --> 15
Q2 --> 16
Q3 --> 17
Interquartile
Range IQR 2
Outliers none

Answer:

16.1, 16, 16

Step-by-step explanation:

1) we are going to do the mean :)

you add all the number together and divide by the same number

you should get 354/22 which is 16.0909....... since its round to tenth place, we place it at 16.1.

2)  median, for this one, you have to lay out the numbers and see which one is in the middle, in 14,15,16,17,19, 16 is the median.

3)  the number that appear the most is the mode, so right now we have

three 17s and six 16s, don't worry about the others because its not in the answer choice, so its 16.

Hope this helps :D

Find the volume of the cylinder. Use 3.14 for T.

height of 5m radius of 15m

Answers

Answer:

739.47

Step-by-step explanation:

height - h, radius -r

V=hπ²r=5×3.14²×15=739.47

739.47 :))))))))))))))

HELPPPPPPP PLEASEEEEEEE!!!!!!!!




:((((((

Answers

There’s an app for math equations that big I just forgot the name

There is a manhole cover with a radius of 1 foot. What is the manhole cover's diameter?

Answers

Step-by-step explanation:

This seems like you just want to figure out the circumference of the manhole cover. The formula for the circumference of a circle is pi (3.14) multiplied by the diameter (d) of the circle so, circumference=πd. (π is the symbol for pi and approx. equals 3.14)

Circumference = πd

= 3.14(d)

= 3.14(3)

= 9.42 ft.

The length of the brass grip-strip will be 9.42 ft.

If the problem was stated in terms of the radius of the manhole cover then the formula would be circumference = 2πr which is the radius multiplied by 2 then multiplied by pi.

The radius of a circle is the distance from the center to the edge and the diameter is the distance from one edge of the circle to the other passing through the center of the circle.

Well, if the grip strip were of no width and could be straightened out to a line (which a piece of rubber cut in a circle couldn't be), then the length of the grip would correspond to the circumference of the manhole cover.

Circumference = 2*PI*radius = PI*diameter so your answer is 3*PI feet long.

Can someone help me I really don’t understand this..

Answers

Answer:

this would be the answer 4.66666667 but when rounded it would be 5 or 4.7

Step-by-step explanation:

brainliest ???

The product is 4.66666666667

Determine the sum of cells A1 and C3. = sume 2) Determine the sum of all rowś from A5 to A27 using the range operator. = sume 3) Determine the largest value in cells D2 and D3. 4) Determine the number of numeric values from rows F5 to F21, cell G12, and cell H9.

Answers

Here are the solutions to the given problems:

1. To find the sum of cells A1 and C3, we simply write the formula as: =SUM(A1,C3)

2. To find the sum of all rows from A5 to A27 using the range operator, we use the formula: =SUM(A5:A27)

3. To determine the largest value in cells D2 and D3, we use the formula: =MAX(D2,D3)

4. To find the number of numeric values from rows F5 to F21, cell G12, and cell H9, we use the formula: =COUNT(F5:F21,G12,H9)

The above formulas are used in Microsoft Excel for performing calculations.

Microsoft Excel is a popular spreadsheet program developed by Microsoft. It is a part of the Microsoft Office suite of productivity software, which also includes programs like Word, PowerPoint, and Outlook.

Excel provides a grid-based interface where users can organize and analyze data. The program uses a collection of cells arranged in rows and columns, forming a worksheet. Each cell can hold various types of data, such as numbers, text, dates, and formulas.

Excel offers a wide range of features and tools to perform calculations, create charts and graphs, manipulate data, and automate tasks. Users can enter data manually or import it from external sources, perform mathematical and statistical calculations, create formulas to link and manipulate data across cells, and use functions for various purposes.

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Factor the difference of perfect squares. 4x^2 - 1

Answers

Answer:

(2x+1)(2x-1)

Step-by-step explanation:

4x^2-1

(2x)^2-1

(2x)^2-1^2

(2x+1)(2x-1)

A city council with six members must elect a five-person executive committee consisting of a mayor, deputy mayor, secretary, administrator, and treasurer. How many executive committees are possible?
Determine the appropriate counting technique. Choose the correct answer below
A. Arrangements with repetition should be used because no llem may be selected more than once and the order maters
B. Permutations should be used because no item may be selected more than once and the order matters
C. Combinations should be used because no tem may be selected more than once and the order does not matter
D. Arangements with repetition should be used because we make selections from a group of choices
E. Permutations should be used because we make selections from a group of choices

Calculate how many different committees are possible

Answers

The correct answer is B. Permutations should be used because no item may be selected more than once, and the order matters. There are 720 different executive committees possible.

To determine the appropriate counting technique, we need to consider two factors: whether repetition is allowed and whether the order matters.

In this scenario, each position in the executive committee is distinct (mayor, deputy mayor, secretary, administrator, treasurer), and no member can hold multiple positions. Therefore, repetition is not allowed.

Additionally, the order of the positions in the committee matters. The committee will be different depending on who holds each position.

Based on these considerations, the correct answer is:

B. Permutations should be used because no item may be selected more than once, and the order matters.

To calculate the number of different committees possible, we can use the concept of permutations. Since there are six members in the city council and we need to select five for the committee, the calculation would be:

6P5 = 6! / (6-5)! = 6! / 1! = 6 * 5 * 4 * 3 * 2 * 1 / 1 = 720

Therefore, there are 720 different executive committees possible.

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In the pic below help my cousin out UnU I don’t wanna help em ;-;

Answers

Answer:

The mode is 78, for it keeps repeating.

a sporting goods store received an order of 64 baseball caps, of which 16 were green. if 1 of the 64 caps is selected at random, what is the probability it will

Answers

The probability of selecting a green baseball cap from the order of 64 caps is 0.25 or 25%.

To calculate the probability of selecting a green baseball cap from the order of 64 caps, we can use the concept of probability.

Given:

Total number of caps (n) = 64

Number of green caps (k) = 16

The probability (P) of selecting a green cap can be calculated as the ratio of the number of green caps to the total number of caps:

P(green cap) = k / n

Substituting the values:

P(green cap) = 16 / 64

P(green cap) = 0.25

Therefore, the probability of selecting a green baseball cap from the order of 64 caps is 0.25 or 25%.

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You would like to lease a car worth $36,601 for a three-year period. The leasing company told you that after three years, the car would have a residual value of $15,818. How much of the car’s original value will you have to pay off during your three-year lease?

Answers

Answer:

$20,783

Step-by-step explanation:

The original value of the car is given as $36,601.

Now, the residual value of the car after a 3 - year lease is given as $15,818.

Residual value is the amount that the person leasing this car can purchase it after the 3 years lease is expired.

Formula for his residual value is usually;

Residual value = original value - depreciation value

Where depreciation value is the amount of the cars original value the Person getting the vehicle on lease for 3 years would pay to cover that period.

Thus;

Depreciation value = 36601 - 15818 = $20783

Falls City has a current population of 3,300 and is increasing 4.1% every year. How large will the population be in 8 years? Round your answer to the nearest whole number.​

Answers

4382


Since 4.1% x 8 = 32.8%

32.8% of 3300 = 1082.4

3300 + 1082.4 = 4082 rounded

During the summer Tyler delivers packages a Miranda Cares for animal on a farm to show there earnings Tyler makes a graph and Miranda makes a table, which statement is true?

Answers

Answer:

divide the earnings number by the time, and then subtract the quotient by the slope of tylers graph.

Pls help me I need some help.

Answers

Answer:

scale factor is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5:15. 8:24. 9:27. they are all a ratio of 3

Other Questions
Which of the following SELECT statements lists only the book with the largest profit?SELECT title, MAX(retail-cost) FROM books GROUP BY title;SELECT title, MAX(retail-cost) FROM books GROUP BY title HAVING MAX(retail-cost);SELECT title, MAX(retail-cost) FROM books;None of the above HEY LOL PLEASE ANSWER THESE. PLEASE IM BEGGING YOU. HELP ME [The following information applies to the questions displayed below.]You have just been hired as a financial analyst for Lydex Company, a manufacturer of safety helmets. Your boss has asked you to perform a comprehensive analysis of the companys financial statements, including comparing Lydexs performance to its major competitors. The companys financial statements for the last two years are as follows:Lydex CompanyComparative Balance SheetThis Year Last YearAssets Current assets: Cash $ 960,000 $ 1,200,000Marketable securities 0 300,000Accounts receivable, net 2,700,000 1,800,000Inventory 3,600,000 2,000,000Prepaid expenses 260,000 200,000Total current assets 7,520,000 5,500,000Plant and equipment, net 9,520,000 9,050,000Total assets $ 17,040,000 $ 14,550,000Liabilities and Stockholders' Equity Liabilities: Current liabilities $ 4,010,000 $ 2,980,000Note payable, 10% 3,660,000 3,060,000Total liabilities 7,670,000 6,040,000Stockholders' equity: Common stock, $75 par value 7,500,000 7,500,000Retained earnings 1,870,000 1,010,000Total stockholders' equity 9,370,000 8,510,000Total liabilities and stockholders' equity $ 17,040,000 $ 14,550,000Lydex CompanyComparative Income Statement and ReconciliationThis Year Last YearSales (all on account) $ 15,860,000 $ 13,580,000Cost of goods sold 12,688,000 10,185,000Gross margin 3,172,000 3,395,000Selling and administrative expenses 1,006,000 1,604,000Net operating income 2,166,000 1,791,000Interest expense 366,000 306,000Net income before taxes 1,800,000 1,485,000Income taxes (30%) 540,000 445,500Net income 1,260,000 1,039,500Common dividends 400,000 519,750Net income retained 860,000 519,750Beginning retained earnings 1,010,000 490,250Ending retained earnings $ 1,870,000 $ 1,010,000To begin your assigment you gather the following financial data and ratios that are typical of companies in Lydex Companys industry:Current ratio 2.4 Acid-test ratio 1.1 Average collection period 40 daysAverage sale period 60 daysReturn on assets 9.3 %Debt-to-equity ratio .66 Times interest earned ratio 5.9 Price-earnings ratio 10 ReferencesSection BreakProblem 13-15A Comprehensive Ratio Analysis [LO13-2, LO13-3, LO13-4, LO13-5, LO13-6]1.Required informationPart 1Required:1. You decide first to assess the companys performance in terms of debt management and profitability. Compute the following for both this year and last year: (Round your intermediate calculations and final percentage answers to 1 decimal place. i.e., 0.123 should be considered as 12.3%. Round the rest of the intermediate calculations and final answers to 2 decimal places.)a. The times interest earned ratio.b. The debt-to-equity ratio.c. The gross margin percentage.d. The return on total assets. (Total assets at the beginning of last year were $13,070,000.)e. The return on equity. (Stockholders equity at the beginning of last year totaled $7,990,250. There has been no change in common stock over the last two years.)f. Is the companys financial leverage positive or negative?2.Required informationPart 22. You decide next to assess the companys stock market performance. Assume that Lydexs stock price at the end of this year is $94 per share and that at the end of last year it was $62. For both this year and last year, compute: (Round your intermediate calculations and final answers to 2 decimal places. For percentages 0.1234 should be considered as 12.34%.)a. The earnings per share.b. The dividend yield ratio.c. The dividend payout ratio.d. The price-earnings ratio.e. The book value per share of common stock.3.Required informationPart 33. You decide, finally, to assess the companys liquidity and asset management. For both this year and last year, compute: (Use 365 days in a year. Round your intermediate calculations and final answer to 2 decimal places.)a. Working capital.b. The current ratio.c. The acid-test ratio.d. The average collection period. (The accounts receivable at the beginning of last year totaled $1,670,000.)e. The average sale period. (The inventory at the beginning of last year totaled $2,030,000.)f. The operating cycle.g. The total asset turnover. (The total assets at the beginning of last year totaled $13,070,000.) 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What would be the most reasonable amount of soil she would need to buy for a garden? A. 5 grams B. 50 liters C. 50 kilograms D. 5,000 kilograms *What two kinds of molecules would be used to support evolution ? 4. (Newton's Method). Consider the problem of finding the root of the function f(x)=x+el.812r in [-1,0]. (i) Find the formula of the iteration function g(x) = x- f(x) f'(x) for Newton's method, and then work as instructed in Problem 3, that is, plot the graphs of g(x) and g'(x) on [-1,0] with the use of Wa to show convergence of Newton's method on [-1,0] as a Fixed-Point. Iteration technique. (ii) Apply Newton's method to find an approximation py of the root of the equation x+el.812x = 0 in [-1,0] satisfying RE(PNPN-1 < 10-5) by taking po = -1 as the initial approximation. All calculations are to be carried out in the FPA7. Present the results of your calculations in a standard output table for the method of the form TL Pn-1 Pn RE(pn pn-1) B : (As for Problem 3, your answers to the problem should consist of two graphs, a conclusion on convergence of Newton's method, a standard output table, and a conclusion regarding an approximation PN.) As was discussed during the last lecture, applications of some cruder root-finding methods can, and often do, precede application of Newton's method (and the Bisection method is one that is used most commonly for this purpose). 4. (Newton's Method). Consider the problem of finding the root of the function f(x)=x+-812 in 1-1,0). (1) Find the formula of the iteration function f(x) g(x) = P(x) for Newton's method, and then work as instructed in Problem 3, that is, plot the graphs of g(x) and g'(z) on [-1.0 with the use of Who to show convergence of Newton's method on [-1.0] as a Fixed-Point Iteration technique. (ii) Apply Newton's method to find an approximation py of the root of the equation z+el-813x = 0 in (-1,0 satisfying RE(PNPN-1 when a program needs to save data for later use, it writes the data in a(n) ________. An NMOS transistor which is operating in linear region is found to have a resistance of 1M22. Assume the channel length is 5um, (W/L) = 5, ID = 100A, V th = 0.5V, and VGS = 3V. 1) Find the new channel width to increase the resistance to 4 M2 2) Find the new overdrive voltage to increase the resistance to 6 M2 Solve the equation. 4 2/5 + k = -3 2/11 HELP DUE BY 10AM HELP ASAP School administrators in Boston want to assess the efficacy of a new reading program they wish to put in place. Therefore, they randomly assign some schools in the city to institute the new reading program and other schools to remain on the traditional reading program. When performing the analysis to determine whether students using the new reading program perform better, the educators control for socioeconomic status, a variable known to be related to educational outcomes. What kind of analysis have the educators performed Please help me with 1,2,3,4,5,6,7,8,9,10 write the answers here if u going to send me a file do not send it I prefer it here please help please Spanish work help pleaseeeee!A)Use the information provided in parenthesis with the progressive tense to tell whateach person is doing right know.Ex. Los nios (comer- en la cafetera) Los nios estn comiendo en la cafeteria.1.Rosa( estudiar / en la biblioteca)____________________________________________________2.Alexandra y Susan ( jugar/ en el parque)___________________________________________________3. Yo ( terminar / mi trabajo de espaol)___________________________________________________4. Qu_____ t _________ en casa? ( estar / hacer)5. Nosotros ( trabajar / en la clase)__________________________________________________B) Create your own two sentgences telling what your father and two of your friend are doing right now. ____________________________________________________ _______________________________________________ ____________________________________________________ _______________________________________________ pls help its for a grade and i need to up my grade