In a certain board game a 12 sided number cube showing numbers 1-12 is rolled. If 3 such number cubes are rolled, what is the probability that at least 1 show as a 2?

Answers

Answer 1

Answer:

0.2297453

Step-by-step explanation:

Given that :

Total faces of = 12 labeled 1 - 12

Probability of showing a 2 ;

P = required outcome / Total possible outcomes

P(showing a 2) = 1 /12

Hence, probability of not showing a 2 ;

P(showing a 2)' = 1 - 1/2 = 11/12

Probability that atleast one of 3 cubes shows a 2 :

1 - P(none of the cubes shows a 2)

P(none of the cubes shows a 2) =

(11/12 * 11/12 * 11/12) = 0.7702546

1 - 0.7702546 = 0.2297453

Answer 2

This question is based on the probability. Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.

Given:

In a certain board game a 12 sided number cube showing numbers 1-12 is rolled.

We need to determined the probability that at least 1 show as a 2, if 3 such number cubes are rolled.

It is given that total faces of = 12 labeled 1 - 12

Now calculating probability of showing a two ;

[tex]Probability = \dfrac{ Required\, outcome }{Total\, possible \,outcomes}[/tex]

[tex]Probability\, of\, showing\,a \,two=\dfrac{1}{12}[/tex]

Hence, probability of not showing a 2 is,

[tex]Probability\, of\, not\,showing\,a \,two=1-\dfrac{1}{12}[/tex]

Now, calculating probability that at least one of 3 cubes shows as a 2 =

1 - P(none of the cubes shows a 2)

[tex]P(none\, of\, the\, cubes\, shows\, a \,2) = \dfrac{11}{12} \times \dfrac{11}{12} \times \dfrac{11}{12} \\\\P(none\, of\, the\, cubes\, shows\, a \,2)=\dfrac{1331}{1728} = 0.770[/tex]

Probability that at least one of 3 cubes shows as a 2 = 1 - 0.770 = 0.22974

Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.

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Related Questions

If a*b=(a-b)², calculate 2*5​

Answers

(2-5)^2
(-3)^2
the answer is 9

I suppose * is supposed to denote a binary operation with the given definition,

a * b = (a - b

as opposed to multiplication, so that, for instance, 1 * 1 = (1 - 1)² = 0.

Using the definition of *, you have

2 * 5 = (2 - 5)² = (-3)² = 9

The expression 3h? + 4 represents the total amount of grain, in pounds, that is harvested
on a farm h hours into each workday. If the harvesting rate continues to follow this
model, which inequality represents the time, in hours, when the total amount of grain
harvested will be at most 100 pounds?

Answers

Answer:

B. [tex] 3h^2 + 4 \le 100 [/tex]

Step-by-step explanation:

total amount of grain, in pounds, harvested = [tex] 3h^2 + 4 [/tex], where, h = hours.

If at most 100 pounds will be harvested, it means the what will be harvested in pounds after working for some h hours, would be 100 pounds or less than 100 pounds. The highest is 100 pounds. "At most 100 pounds" means "less than or equal to 100 pounds".

The inequality that represents the time in hours would be:

✅[tex] 3h^2 + 4 \le 100 [/tex]

i need help with this pleasee

Answers

Answer:

7.1×10^3kg

Step-by-step explanation:

15000-7900=7100

Which variable is the dependent variable and why?
number of gallons of gas 0,2,4,10,
number of miles driven
0,62,124,310

Answers

Answer:

number of miles driven

Step-by-step explanation:

the number of miles that a vehicle can go depends on the amount of gas the car has, the number of gallons of gas is the independent variable

if I have 5 and a half gallons of water and each half gallon needs a pack of salt. how many salt packs do I need?

Answers

Answer:

11

Step-by-step explanation:

5 and a half gallons is 11 half gallons

since 1 half gallon needs 1 salt pckt

11 half gallons will need 11 packets

Answer:

11 salt packets

Step-by-step explanation:

For each half gallon you need one salt packet. So if you have 5 and a half gallons, you need 11 salt packets.

T-Shirts & More Print Shop will print any image on a hat for a cost of $2 per hat and a one-time charge of
$12 to set up the hat design. Which algebraic equation represents the cost, C, of printing f hats?
a. C=2f
b. C=12f+ 2
c. f=2C+12
d. C=2f+ 12

Answers

Answer:

it would be d

Step-by-step explanation:

I hope that helps

​(3​,3​) and ​(4​,6​)

Answers

Answer:

????

Step-by-step explanation:

in graph? is in a graph

If the graph of y = 72 + 6 is translated 4 units down, which equation describes the new graph?
y = 112 + 6
y=73 + 2
y = 72 +10
O
y = 3x + 6

Answers

\left. \begin{array} { l } { y = 112 + 6 }\\ { y = 73 + 2 }\\ { y = 72 + 10 }\\ { y = 3 x + 6 }\\ { \text{Solve for } z \text{ where} } \\ { z = 0 } \end{array} \right.

Answer:

B. y = 7x + 2

Step-by-step explanation:

Given function

y = 7x + 6

Translation down or up by m units =  y + m

y - 4 is7x + 6 - 4 =7x + 2

So it is

y = 7x + 2

Correct option is B.

0.79 times 100 = ?????????/

Answers

Answer:

79.

Step-by-step explanation:

There are 2 zeros in 100 right ? So you move the decimal point to the right two times to get your answer 79.

Hope this helps :)

decrease 26 by the product of 3 and some number
PLSSS HELPPO :(((

Answers

Answer:

C

Step-by-step explanation:

3x - 26

hope it helps po

A Rhombus is labeled ABCD if the slope of AD is 2/3 what is the slope of BC​

Answers

Answer:2/3 i believe

Step-by-step explanation:

In a rhombus the parallel sides have the same slope so BC should have the same slope as AD.

3x (x+5)=0
zero factor product ( SHOW WORK)

Answers

Answer:

x=0 or x=−5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x^2+15x=0

Step 2: Factor left side of equation.

3x(x+5)=0

Step 3: Set factors equal to 0.

3x=0 or x+5=0

x=0 or x=−5

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I PUT 100 POINTS

Answers

Answer:

The slope is 4/5

Step-by-step explanation:

find perfect points or pretty points and rise then run go up from one point then go over to the next point and you get the slope.  In this scenario you go up 4 and over 5 to get to the next point.

What is the image of the point (4, - 7) after a rotation of 180° counterclockwiseabout the origin?

Answers

Answer:

(4,-7)

Step-by-step explanation:

Which set of ordered pairs represents a function?
A) {(-4,9), (-1,0), (0,9), (4,8), (5,5)}
B) {(-4,9).(-1,0), (0,9).(-4,8), (0,5)}
C){(-4,9), (-4.0). (5.9), (4,8), (5,5)}
D) {(-4,9),(-1,0), (0,9),(-1,8), (5,5)}

Answers

A, the x values don’t repeat
The answer is a.
EXPLANATION: you know it’s a function if the x doesn’t repeat, it’s ok if the y repeats tho

A department store buys 400 shirts at a cost of ​$2,800 and sells them at a selling price of ​$10 each. Find the percent markup.

Answers

Answer:

30%

Step-by-step explanation:

2800 ÷ 400 = 7

10 - 7 = 3

3/10 ×100/1 = 30%

Determine the slope and the y-intercept of the line​

Answers

Answer is H
Y-intercept is where the line crosses on line y
X-intercept is how far the line rises and runs to the next point

Please help im in math right now and im about to leave to go to my next class

Answers

Answer:

rlkgj3ypihjepvwr'kg3tyhjl3jofj 'y4ujk

Step-by-step explanation:

epoijreohrj3oewmydwlmh5lu6jm;s,dky608jp

Answer: #3 is 156.86

Step-by-step explanation:

First you Multiply 136.40 by .15. It comes out to 20.46. Then add 136.40 and 20.46 together

F (x) = 1/4 (x+3) + 2

Answers

Answer:

x=4y−11

Step-by-step explanation:

#1. What is 15% of 60?

Answers

Answer:

9

Step-by-step explanation:

The answer is 9 because 15% is 10% + 5% or 6+(6/2) which becomes 6+3 or 9. So 15% of 60 is 9

Franklin has a stick which is 3458 inches long. He wishes to cut it into two pieces so that one piece is 1646 inches longer than the other. What will be the length of the longer piece? (Estimate the solution to the nearest hundredths).
29.63 inches
32.27 inches
35.23 inches
37.87 inches

Answers

Answer:35.23 inches is answer welcome

Step-by-step explanation:

Which ordered pair is a solution of the equation y=4x-9

Answers

X-intercept:(-9/4,0) y-intercept:(0,9)

Find the interquartile range for the given set of data.

{23.5, 22.1, 24.0, 28.6, 26.3, 29.2, 21.0, 22.7, 25.5, 22.3, 21.6}
A.
4.2
B.
8.2
C.
48.4
D.
50.2

Answers

Answer:

A. 4.2

Step-by-step explanation:

Answer:

A. 4.2

Step-by-step explanation:

put the numbers in order

21.0 , 21.6, 22.1, 22.3, 22.7, 23.5, 24.0, 25.5, 26.3, 28.6, 29.2

Q1 = 22.1

Q2 (median) = 23.5

Q3 = 26.3

Interquartile range (IQR) = Q3 - Q1 = 26.3 - 22.1 = 4.2

Without graphing, find the slope of the line that goes through
1. (0,5) and (8,2).
2. (2,-1) and (6,1). 1/2
3. (-3,-2) and (-1,-5).

Answers

Answer:1/2,-3/2,-3/8

Step-by-step explanation:

The slope of the lines are -3/8, 1/2 and -7/2 respectively.

A linear equation is given by:

y = mx + b

Where y, x are variables, m is the slope of the line and b is the y intercept.

1) The slope (m) of the line that goes through  (0,5) and (8,2). is:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{2-5}{8-0}\\\\m=-\frac{3}{8}[/tex]

2) The slope (m) of the line that goes through  (2, -1) and (6,1). is:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-(-1)}{6-2}\\\\m=\frac{1}{2}[/tex]

3) The slope (m) of the line that goes through  (-3, -2) and (-1, -5). is:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-2}{-1-(-3)}\\\\m=-\frac{7}{2}[/tex]

The slope of the lines are -3/8, 1/2 and -7/2 respectively.

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i undermost of my problems but i dont get this one. any help?

Answers

I am legit doing this in school but I don't know it lol

Answer:

 y = 6x + 4

Step-by-step explanation:

(x₁ , y₁) = (-2 , -8)  & (x₂ , y₂) = (2 , 16)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{16-[-8]}{2-[-2}\\\\=\frac{16+8}{2+2}\\\=\frac{24}{4}\\\\= 6[/tex]

m =  6

y - y₁ = m(x - x₁)

y - [-8] = 6(x -[2])

y + 8 = 6(x + 2)

y + 8 = 6x + 6*2

y + 8 = 6x + 12

    y = 6x + 12 - 8

   y = 6x + 4

Find the inverse of f(x)=x/4-7


Answers

Answer:

[tex]fx^{-1} (x)=4x+28[/tex]

Step-by-step explanation:

Answer: y=4x+28

Step-by-step explanation:

Please help Please help​

Answers

The distance between point C and point D is 10.

Point D is on the 1 and Point C is on -9.

1-(-9)=10.

A dance studio charges all new members a $175application fee plus $20 per month. How much will Stacie pay for a 2 membership

Answers

Well if she’s doing a two month membership she will have to pay $215
This is because if you follow the y=mx+b form you get b=175 Bc that represents the cost for application and the m=20 Bc it’s 20 dollars per month. This then means the 2 is the x because it’s that’s the value/the months. So then y=20(2)+175, 20(2)=40, 40+175=215, y=$215

f(3) = (x + 1)2 – 16
Number of x-intercepts?

Answers

y=mx+b

y=2/3 x −14/ 3

Y equals 2 over 3 (x) minus (negative) 14 over 3

Using powers of 10, which would be the best choice for the first number to subtract in the division problem 742 divided by 61?

700

61

6100

610

Answers

Answer:

The first number to subtract is 610

Step-by-step explanation:

In the division of 742 by 61, the first thing to do is to divide 742 by 61 straight and we get 10

So multiplying 10 by 61, we get 610

This is what we proceed to subtract from 742

So the first number to subtract is 610

Answer: 610

Step-by-step explanation:

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