Suppose you are dealt 6 cards from a standard 52-card deck. What is the probability that
you are dealt a 4-of-a-kind and a pair?
Answers
Answer: Approximately 0.00004597583714
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Explanation:
Four-of-a-kind is when you get four cards of the same value. One example is if we got four aces. Any four-of-a-kind already has two pairs built into it. I'm assuming your teacher wants four-of-a-kind and another different pair (we'll have 6 pairs all together).
In any suit there are 13 unique cards. So there are 13 choices to fill the first four slots to set up the four-of-a-kind.
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After the four-of-a-kind is formed, we have 13-1 = 12 unique cards left in any given suit. Once that fifth card is chosen, we then have 4 C 2 = 6 ways to select that final card such that we get another pair. I'm using the nCr combination formula since order doesn't matter. The steps to calculating this value (and the other nCr value mentioned later) is shown in the attached image below.
Multiplying those values gets us 13*12*6 = 936 different six card hands such that we get four-of-a-kind and a different pair.
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This is out of 52 C 6 = 20,358,520 different six card hands.
Divide the two values found
936/(20,358,520) = 0.00004597583714
Related Questions
please help this is for my son and i dont know it
Answers
Answer:
8 cookies left to be baked.
Step-by-step explanation:
Together both of them bakes = (1/3) + (2/5)
= [tex]\frac{5}{15} +\frac{6}{15}[/tex]
= [tex]\frac{11}{15}[/tex] cookies.
So they have baked: (11/15) * 30 = 22 cookies together.
cookies left to be baked: 30 - 22 = 8 cookies.
Answer:
8 cookiesStep-by-step explanation:
Cookies needed - 30.
Len bakes:
30*1/3 = 10Shailesh bakes:
30*2/5 = 12Remaining to bake:
30 - 10 - 12 = 8Madelyn hikes 190.5 meters up a mountain. If she is 62% of the way up, how tall is the mountain? Round to the nearest whole meter.
Answers
Answer:
307 meters tall
Step-by-step explanation:
190.5 / 62 = x / 100
19050 / 62 = 307
If it is rounded up.
to lease a new car, you must make a dowm payment when you sign the lease, then pay $199 per month . six months after signing his lease, Mr Scott had paid $2,694. write and solve an equation to find the total amount he will have paid after 3 years.
non-irrelevantly answer, i will give brainliest for attemting to answer this question please help needed.
1) Provide one example of a technology or communication system that allows information to be transferred for each of these three transfer methods: human to machine; machine to human; and machine to machine. Briefly describe each of the three technologies
Answers
When you think of an electronic log book for workplaces they are like this. human to machine- The human is speaking to the machine through actions of logging in times etc. Machine to human- The machine will now send a response to the human saying that it is logged. Machine to Machine- The machine will use its software to dispose or disclose the information you have given it.
When three times a number is decreased by 7, the result is 20. What is the number?
The number is?
Answers
Answer:
The number is 9
Step-by-step explanation:
• Let the number be x
[tex]{ \tt{3x - 7 = 20}} \\ [/tex]
» Add 7 to either sides following addition rule of equality:
[tex]{ \tt{(3x - 7){ \red{ + 7}} = 20{ \red{ + 7}}}} \\ { \tt{3x = 27}}[/tex]
» Divide either sides by 27:
[tex]{ \tt{ \frac{3x}{ \blue{3 }} = \frac{27}{ \blue{3}} }} \\ \\ { \tt{x = 9}}[/tex]
3x=27
x=9
number is 9
Is the question asking to see if x = 1, y=-2, and z=2 by solving the three equations?
Answers
Answer:
2 × 1 +2 +2×2 =8
2+2+4=8
8=8
3×1 +3× -2 + 4×2 =5
3-6+8=5
5=5
1+2 × -2 +2 = -5
1-4+2= -5
-5 = -5
150% of what number is 120
Answers
Answer:
x = 80
Step-by-step explanation:
We have, 150% · x = 120
or, 150/100 · x = 120
Multiplying both sides by 100 and dividing both sides by 150,
we have x = 120 · 100/150
x = 80
If you are using a calculator, simply enter 120×100÷150, which will give you the answer.
[RevyBreeze]
Answer:80
Step-by-step explanation:
we have,
150x/100 = 120
x = 120 x 150/100
x= 80
Question 2 of 10, Step 1 of 1
One integer is 9 more than another. Their product is 90. Find the integers.
Answer
How to enter your answer (opens in new window)
smaller integer
Answers
Answer:
6 is the smaller integer and 12 is the larger
Step-by-step explanation:
yeah just guess and check
I need help fast please I hope this is easier for yall
Answers
Answer:
[tex]33\frac{1}{3} ft^2[/tex]
Step-by-step explanation:
[tex]8\frac{1}{3}\times{4}=32\frac{4}{3}=33\frac{1}{3} ft^2[/tex]
Answer:
33 1/3 ft squared
Step-by-step explanation:
A pigmy rattlesnake has an average length of 18 in., while
a Western diamondback rattlesnake averages a length of
5 ft 6 in. What is the ratio of the length of a pigmy rattlesnake
to the length of a Western diamondback rattlesnake?
Answers
Answer is down below.
Step-by-step explanation is in the photo below.
The volume of the cylinder is 1847.3 in3. Determine the diameter of the cylinder to the nearest tenth.
Answers
Answer:
184 is the diameter
Step-by-step explanation:
A bird of species A, when diving, can travel six times as fast as a bird of species B top speed. If the total speeds for these
two birds is 259 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.
What is the fastest speed of the bird species B in miles per hour and the fastest speed of the bird of species A in miles per hour
Answers
Answer:
37 mph, 222 mphStep-by-step explanation:
Let the speed of bird of species A is x and speed of B is y.
The equations:
x + y = 259x = 6ySubstitute and solve for y:
6y + y = 2597y = 259y = 259/7y = 37Find x:
x = 6*37 = 222
[tex]x[/tex]will be the speed of species b and [tex]4x[/tex] will be the speed of species a:
[tex]x + 4x = 180[/tex]
[tex]5x = 180[/tex]
[tex]x = \frac{180}{5}[/tex]
[tex]x = 36 \: m/h[/tex]
If species b has a speed of [tex]36 [/tex]m/h, the speed of species a is [tex]4[/tex]times that:
[tex]4 \times 36 = 144 m/h[/tex]
Answer :—
[tex]A = 36 \: m/h [/tex]
[tex]B = 144 \: m/h[/tex]
Find the equation of the line passing through point (1,-5) and perpendicular to y=1/8x+2
Answers
Answer:
y=8x-13
Step-by-step explanation:
When you're finding a perpendicular line, you take the opposite of the slope. The slope in this equation is 1/8, so a perpendicular line will have the slope of 8. So we already know y=8x+b.
Plug in your x and y values from the ordered pair and you get -5=8(1)+b. 8×1 is just 8, so it's -5=8+b. Subtract 8 from both sides and you get -13=b.
This is right I solved it
need help plz ............................................ .
Answers
Answer:
(x+5)+(x-10)+(x-75)+125=360
3x+45=360
3x=315
x=105
calculate simple interest on R4400 at 4% per annum for 7years.
Answers
Answer:
Simple interest=PRT/100
P=4400
R=4%
T=7
SI=4400×4×7/100
SI=44×4×7
SI=1232
Calculate the measures of x y z in the diagram given beloe
Answers
Z=180°-y
=180°-110°
=70°
X=y
X=110°
Step-by-step explanation:
Solution,
∠IDJ = 70° ( being alternate angle in AB || CD )
∠ IDJ + x = 180° ( being co-interior angle in EF || GH )
or , 70° + x = 180°
or , x = 180° - 70°
x = 110°
Again,
∠BLH = ∠CKG ( Being alternate angle in AB || CD )
y = 110°
Finally ,
z + y = 180° ( Being adjacent supplementary angle )
or , z + 110° = 180°
z = 70°
Thus , x = 110 ° , y = 110 ° and z = 70°
Cade rode 1 3/5 miles on Saturday and 1 3/4 miles on Sunday. How far did he ride on the two days?
Answers
Answer:
3.35
Step-by-step explanation:
just adding fractions
Khan uses 78 feet of fence to make a rectangular pen for his pet rabbit. The length of the pen is 25 feet. What is the width of the rectangular pen?
Answers
please help i will give crowns
Answers
Answer:
10/3 or 3 1/3
5/1 · 2/3 = 10/3
You can't simply this anymore farther.
Also the proper form of 10/3 is also 3 1/3.
On a distance-time graph,a horizontal straight line corresponds to motion at __+
Answers
On a distance time graph, a horizontal straight line corresponds to motion at zero speed constant speed increasing speed decreasing speed.
What is four multiplied by fifteen
Answers
Answer:
60
Step-by-step explanation:
4x15=60
Answer:
60
hope this helps
have a nice day:)
a bag contains 10 yellow marbles 14 Blue Marble 7 red marbles and 9 green marbles. jack reaches in and grabs a marble, then without Jack replacing his marble, Anna reaches in and grabs a marble. what is the probability of a blue and a red blue marble being pulled out?
Answers
Answer:
here the answer is 9/29...
Gary gets a bonus $20 for every computer he sells over and above his quota of 10 per week. If he
sells n computers in a week and n > 10 , write an expression for Gary’s bonus in that week
(in expanded form).
Answers
I'd appreciate it if you gave brainliest and liked my answer!
Answer:
The inequality that describes this problem is , and the minimum number of computers he must sell is 25.
Step-by-step explanation:
Since there is no restriction on the number of computers he must sell, an inequality can help us describe the situation.
Writing the inequality.
Let x be the number of computers he sells the next month, since he receives a bonus of $100 per computer he sells the total amount he will make for x computers is
And since he wants to make $2,500 in bonuses, the inequality that describes that situation is
Solving the inequality.
In order to find the exact number of computers he must sell, we need to solve for the inequality.
Since 100 is multiplying to x, in order to move that 100 to the other side, we need to apply the inverse operation to multiplication, which is division. We can then divide both sides by 100
So then we can simplify to get
Thus the minimum number of computers he must sell is 25.
What are the zero(s) of the function f(x) =4x2-36x. —————————————
X-9
?
A.x= -9
B.x=0
C.x=9
D.x= 0 and x = 9
Answers
Answer:
x=0 true
....................
Answer:
B) x=0
Step-by-step explanation:
[tex]f(x)=\frac{4x^2-36x}{x-9}\\ \\0=\frac{4x^2-36x}{x-9}\\ \\0=\frac{4x(x-9)}{x-9}\\ \\0=4x\\\\0=x\\\\x=0[/tex]
This is just a linear function in disguise, so there's only one solution
whats 9 plus 10 in this proplem
Answers
Annika needs to sell at least 25 boxes of Girl Scout cookies to get a new badge she has already sold 4 boxes how many more does she need to sell
one step inequality word problems
Answers
Step-by-step explanation:
21 is the answer cause if she sold 4 already thats equal 25 boxes of cookies
What is the area of the figure?
Answers
Explanation:
The top part be be cut into 2 2•2 triangles. A = 4 for both of them
And the rest is a 4•4 square, so A = 16.
4 + 16 = 20
Hope this helps!
What is the change from $50 if my total purchases were $36.80?
Answers
Kim is playing an online trivia game. She has 25 points and earns 1 point for each correct answer. She will advance to the next round if the score is 34 points. Which inequality can Kim use to find how many more questions she must answer correctly to advance to the next round
Answers
Answer:
the answer is b I'm pretty sure
Answer:
1x 25< or equal to34
Step-by-step explanation:
PLEASE HELP
Find the Difference
(3 - 2.1z) - (1.7w + 9) - (-8 - 3z)
Answers
Answer:
1 dfrac 20+9z-17w I think this is your answer
The first step in solving this eqaution for x uses _ property 2(x + 7) + 3x = 12
Answers
Answer:
2×x×7+3x=12
2x+14+3x=12
5x+14=12
5x=12-14
5x=-2
Divided Both Sides By 5
X=-2/5