A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 8 face cards. Leave your answer as a reduced fraction.

Answers

Answer 1

Answer: [tex]\dfrac{9}{66892280}[/tex]

Step-by-step explanation:

Number of combinations of r things from n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Number of combinations of choosing 9 cards out of 52 = [tex]^{52}C_9=\dfrac{52!}{9!(52-9)!}=3679075400[/tex]

Total face cards = 12

Number of combinations of choosing 8 face cards = [tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}=495[/tex]

Required probability = [tex]\dfrac{495}{3679075400}=\dfrac{9}{66892280}[/tex]

Hence, the probability that the hand contains exactly 8 face cards. = [tex]\dfrac{9}{66892280}[/tex]


Related Questions

PLEASE HELP!

Equation: 4(x-6)-8=5(x-7)-x

Answer choices:

A. 0
B. All real numbers
C. No solution
D. Non of the above

I chose C but I wanted to get some confirmation. Thanks!

Answers

Answer:

0, it has no solution.

Step-by-step explanation:

What is the solution to the following question 2^ -3x+2=0

Answers

Answer: x= −16

Step-by-step explanation:

Hey guys I need help. Care to be kind? :(

Answers

9514 1404 393

Answer:

  $77.94

Step-by-step explanation:

The (signed) sum of charges and credits results in the total due:

  $82.04 -4.10 = $77.94 . . . amount due

At a school, there are 120 athletes. The ratio of boy athletes to giri athletes is 3:5. How many of the athletes are girls?
А
75
B
45
с
24
D 5

Answers

Answer:

a

Step-by-step explanation:

because there are over half girls and half of 120 is 60 and 75 is over half

A train travelled a distance of 1350 kilometers in 15 hours find it,s average speed answer pleaseeeeeeeee fast ,thanks​

Answers

Answer:

90

Step-by-step explanation:

1350 divided by 15

Solve: x^2=10
A) x= +5
B) x= +100
C) x= +3.5
D) x= 10 squared

Answers

Answer:

D) x=√10

Step-by-step explanation:

√(10)=3.16(approximately )

A furniture factory makes 250 tables each day. Create an equation that can be used to find the total number of tables made, y, after x days.

Answers

Answer:

The equation would be y=250x

Step-by-step explanation:

They are making 250 tables a day (x)

we put the x next to the 250 because that number will change everyday.

y would equal our total

The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70​

Answers

Answer:

try 77

Step-by-step explanation:

discrimination from teachers to students

Answers

Answer:

agree

Step-by-step explanation:

What is the question

Triangle BIG is similar to triangle MOP . Find v .

Answers

Answer:

63:42

so this is

3:2

[tex] \frac{33}{3} = \frac{v}{2} [/tex]

[tex]v = \frac{2 \times 33}{3} = \frac{66}{3} = 22[/tex]

v=22

The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.

Calculation of the value of v:

Since as per both the figures we can write the ratio like  63:42 so it can be like 3:2

So the calculation could be done below

[tex]33 \div 3 = v \div 2\\\\v = 2 \times 33 \div 3\\\\= 66 \div 3[/tex]

= 22

Hence, The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.

Learn more about triangle here: https://brainly.com/question/9721655

Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?

Answers

Answer:

$120

Step-by-step explanation:

Happy almost halloween!

PLEASE HELP MATH!!!1

Answers

the y< -2x + 6 is the one that crosses at 6 on the y-axis. the < indicates that you shade BELOW it, so the left side of that line is shaded because it has a negative slope.

the y> 5/4x - 6 is the one that crosses at -6 on the y-axis. the > indicates that you shade ABOVE it, so the left side would also be shaded because it has a positive slope.

so whatever point is in both of those shaded areas would satisfy both inequalities

Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We

print 150 copies. How much does it cost the college if a ream, 500 pages, cost

$7.40 each?

Answers

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??

Answers

What test is this question from?

Answer:

I need these answers and the ones he put in in the comments are all wrong

A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?

Answers

Answer:

im guessing 35mph

Step-by-step explanation:

Answer:

30 mph and 40 mph

Step-by-step explanation:

It is the same with the speed and water.

I need to find what the square root is to 19,478,730. my teacher literally put that. help​

Answers

Answer: 4413.5

Step-by-step explanation:

4413.47142 if you need to be exact

When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.

Answers

Answer:

2

Step-by-step explanation:

this will help i think this will be the answer i am not sure

I want the answer of this question

Answers

Answer:

42sq . units

Step-by-step explanation:

To get the width of the shaded rectangle, subtract 2(0.5) from the length of the other rectangle bounding it ( 7cm).

Multiply the length and width together to get the area .

Answer: 42 sq. Units

Step-by-step explanation: i got it right.

What is the image point of (-8, 7) after a translation right 5 units and up 5 units?

Answers

Answer:

-11,11

Step-by-step explanation:

JUst add 5 to both.

Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?

Answers

Answer:

The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.

Step-by-step explanation:

Let X represent the LDL levels.

It is provided that [tex]X\sim N(123, 41^{2})[/tex].

Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:

[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]

                      [tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]

Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.

Please help please ​

Answers

Answer:

1.) supplementary  m<1+m<2=180 and m<2+m<3=180

2.) congruent, supplementary

Step-by-step explanation:

the answers are in this order above

Pls help
8th grade math

Answers

a. $500
b. $50
c. y= 50x + 500

Answer:

per night 50 cost

Step-by-step explanation:

sorry but i goo

The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.

Answers

Answer:

Vertices A B y C

A ( 2 , 3 )    B ( -1 , 1 )  C ( 3, 1 )

Step-by-step explanation:

We have to solve a two-equation system, by pair of equations as follows

equation (1)   2x - 3y + 5 = 0

equation (2)  2x + y -7    = 0

Solving this system we find let´s say vertex A

0x - 4y +12 = 0      y = 3

Then x ?

2x - 3y + 5 = 0

2x - 9 + 5 = 0     ⇒ 2x = 4     x = 2

Then vertex A ( 2 , 3 )

From equation (1) and (3)

2x - 3y + 5 = 0

2x + 5y - 3 = 0

Agan subtracting (1) - (2)

0x -8y + 8 = 0

y = 1    and      

2x + 5y = 3

2x + 5 = 3

2x = -2

x = -1

Vertex B ( -1 , 1 )

Finally from equation (2) and (3) we get the third vertex C

2x + y - 7 = 0

2x + 5y - 3 = 0

0x -4y -4 = 0

y = 1

2x + y = 7

2x + 1 = 7

2x = 6

x = 3

C ( 3 , 1 )


Is - 60 a solution of 1/12*=5?

Answers

Answer:

No -60 is not a solution

Step-by-step explanation:

x = 5/12 = 2.400

-60 is not a solution of 5/12, or 1/12*=5.

Hope I helped.

The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6 grams. If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams?

Answers

Answer:

If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Step-by-step explanation:

Mean = [tex]\mu = 464[/tex]

Standard deviation =[tex]\sigma = 6[/tex]

We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02

The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.

n = 27

Refer the z -table

P(Z>x)=2.06

[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37[/tex]

So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Jordan says that 6 ÷ 1/2 =3. Is he correct

Answers

Answer:

No it is 12

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

6 ÷ 1/2 = 12

(1/2 = 0.5)

6 ÷ 0.5 = 12

Check you answer.

0.5 x 12 = 6

So Jordan is incorrect.

The correct answer is 12

Hope this helped :)

Please consider Brainliest :)

Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?

[−8.728, 5.728]
[1, 5.728]
[−3, 5.728]
(0, 5.728]

Answers

Answer:

its d

Step-by-step explanation:

thank the guy up top

Using quadratic formula, the possible values of x lies in [0, 5.728].

What is a quadratic formula?

The quadratic formula is a formula that provides the solution to a quadratic equation.

[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \\\\when\ ax^2 + bx + c = 0\\a, b, c = constants, \\where\ a != 0\\x= the\ unknown[/tex]

The equation in the given question is-

[tex](x+3)(x) < =50\\\\x^{2} +3x-50 < =0\\\\x^{2} +3x-50=0\\\\x = \frac{-3 +\sqrt{9+4*50} }{2} ,\frac{-3 -\sqrt{9+4*50} }{2}\\\\x = \frac{-3 +\sqrt{209} }{2} ,\frac{-3 -\sqrt{209} }{2}\\\\\\x = -8.728, 5.728\\\\x =[-8.728, 5.728][/tex]

But, x cannot be negative so x lies in [0, 5.728].

Learn more about quadratic formula here

https://brainly.com/question/2615966

#SPJ2

Which of the following have a value equal to |37|? Select all that apply.

A. –37

B. |–37|

C. 0

D. –(–37)

E. 37

Answers

Answer:

B, D, E

Step-by-step explanation:

Absolute value is always positive so the absolute value of 37 is 37.

and |-37| would equal 37.

HOpe this helps!!

...................................

Answers

Answer:

What? lol

Step-by-step explanation:

Answer:

........................?

Step-by-step explanation:

HURRY ON A TIMER PLEASE HELP

which shows all the like terms in the expression ​

Answers

Answer:

the second one -3and1 :4x and 7x

Step-by-step explanation:

Answer:

-3 and -1; 4x and 7x

Step-by-step explanation:

like terms are the numbers with the same variable

eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are

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