Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a four and then selecting a two.

Answers

Answer 1

Given:

Two cards are selected from a standard deck of 52 playing cards.

The first card is not replaced before the second card is selected.

To find:

The probability of selecting a four and then selecting a two.

Solution:

We know that,

Total number of cards = 52

Number of four cards = 4

Number of two cards = 4

Now,

[tex]\text{Probability}=\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}[/tex]

Probability of selecting a four = [tex]\dfrac{4}{52}[/tex]

After selecting a card, then number of remaining cards is 51.

Probability of selecting a two = [tex]\dfrac{4}{51}[/tex]

So, the probability of selecting a four and then selecting a two is

[tex]P=\dfrac{4}{52}\times \dfrac{4}{51}[/tex]

[tex]P=\dfrac{1}{13}\times \dfrac{4}{51}[/tex]

[tex]P=\dfrac{4}{663}[/tex]

Therefore, the required probability is [tex]\dfrac{4}{663}[/tex].


Related Questions

Fractions that have the same value. For example, 2/4=1/2

Answers

Answer:

20/4 0       &    10/20  

explanation:

give me crown please

don't know need help [pls

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Answer:

56

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

can someone please help me with the middle one?

Answers

Answer:

265

Step-by-step explanation:

765-500=265

answer: 265 cents

if she started with 500, and her unlce gave her ‘x’ amount more to give her a total of 765, the equation would be 500 + x = 765. to solve for x, you can rewrite this using the inverse operation (subtraction) as 765 - 500. the answer is 265 cents.

How can you find the value of x? in 3x= 2 1/4

Answers

Answer:Tap for more steps... By the Sum Rule, the derivative of x 4 + 3 x 2 x 4 + 3 x 2 with respect to x x is d d x [ x 4] + d d x [ 3 x 2] d d x [ x 4] + d d x [ 3 x 2]. Differentiate using the Power Rule which states that d d x [ x n] d d x [ x n] is n x n − 1 n x n - 1 where n = 4 n = 4.

Step-by-step explanation:

Please help im in desperate need Find the value of the expression below for h= 6.


h− 2


A 4 B 8 C 12

Answers

A is the right answer

A group of friends were working on a student film that had a budget of $800. They spent all their budget on equipment and props. They used 73% of their budget on props. How much money did they spend on equipment?

Answers

Answer:

216

Step-by-step explanation:

800 ÷ 100 = 8

8 = 1%

73 x 8 = 584

800 - 584 = $216

The outside temperature was 2°F.
How many degrees below the freezing
point was the outside temperature?

Answers

Answer:

30°F

Step-by-step explanation:

PLEASE HELP HELP HELP IMAGE ATTACHED

Answers

Answer:

B'(6, 6) ; C'(12, 6)

Step-by-step explanation:

The points are not labeled so I'm going to assume the points are as follows:

A(3, 9)

B(3, 3)

C(6, 3)

In order to dilate with a scale factor of 2, simply multiply the x and y coordinates by 2.

B(3, 3) ⇒ B'(6, 6)

C(6, 3) ⇒ C'(12, 6)

Describe how to sketch the graph of y = –tan(2x) + 3 using the parent function.

Answers

Answer:

Start by graphing the tangent function.

Compress the graph horizontally by making the period one-half pi.

Reflect the graph over the x-axis.

Shift the graph up 3 units.

Step-by-step explanation:

Just did it but it’s the sample response

The cost of 10 balls is 280. Find the cost of 19 balls.​

Answers

Answer:

$532

Step-by-step explanation:

Hey There!

So to solve this problem the first thing that we want to do is find the cost of 1 ball

To do so we divide the total cost of 10 balls by 10

280/10=28 so each ball cost 28

now to find the cost of 19 balls we multiply the cost of 1 ball by 19

18x28=532

thus meaning 19 balls cost $532

Answer:

$532

Step-by-step explanation:

We need to find the cost of 1 ball and then multiply it by 19, here is the math:

280/10=28

Now we know that 28 is the cost of 1 ball.

28 x 19=532

The cost of 19 balls is $532

what are these plz respond

Answers

Answer:

1. A

2. B.

3. A

4. C.

5 B.

6. ok boomer.

Step-by-step explanation:

Find the value of the variable

Answers

Answer:

x=6

Step-by-step explanation:

I would look at this triangle and notice that x can be solved by setting up a ratio.

I generally put the short side of the triangle on the top and the long side on the bottom

4/x = x/9

You then cross multiply to get 36=x^2, or +-6=x

A length of a triangle cannot be negative, so we are left with the answer x=6

10a3 what is the vocabulary for 10

Answers

Context clues and look it up! we are here for moral support

Graph the equation 2/3x2 + 4x+ 4

Answers

Answer:
Shown below

Explanation: The (x,y)—coordinates— of the points is also shown :)

Use the Distributive Property to rewrite the algebraic expression.
7(x + 2) (I will give brainliest)

Answers

Answer:

7x+14

Step-by-step explanation:

7 times x = 7x

7 times 2 = 14

put it together 7x+14

Answer:

7x+14

you multiply 7 by x and 2

Sove
72000
Divided
Blank equals 900

Answers

Answer:

80

Step-by-step explanation:

PLS PLS PLS I will give brainlest PLS PLS ANSWER THIS PLS I'M DESPERATE PLS PLSSS IT'S DUE TODAYYYYYY PLS HEEEELLLP

Answers

Answer:

11. 6/10

12.60 percent

5. the size of the photograph would decrease

6) the size of the photograph would increase

7) h

3)46

Step-by-step explanation:

paul made a list of chores he needs to complete before his dad comes home from work at 6:30 what is the latest time paul can do his chores before his dad comes home

Answers

Answer:

c

Step-by-step explanation:

just count

Answer:

C

Step-by-step explanation:

Jonah bought a 36-ounce Big Mouth Soda. After he drinks 27 ounces, what percent of his soda is left?

Answers

Answer:

25%

Step-by-step explanation:

i think

WHAT ARE 100 DIGITS OF PI

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ... PI/4 = 1/1 - 1/3 + 1/5 - 1/7 + ... PI/2 = 2/1 * 2/3 * 4/3 * 4/5 * 6/5 * 6/7 * ... 2/PI = (1 - 1/22)(1 - 1/42)(1 - 1/62)...

Find f(2) if f(x) = (x + 1)2
5
6
9
1

Answers

Answer:

6

Step-by-step explanation:

f(x)=(x+1)2

f(2)=(2+1)2

f(2)=(3)2

f(2)=6


The following distribution is not a probability distribution because
x
-5
-4
-3
-2
P(x) 0.08 0.23 0.44 0.12 0.24
A) The values of x are negative
B) The probability values are not increasing
C The probability values do not add to 1
D) The probability values are not discrete

Answers

Answer:

C The probability values do not add to 1

Step-by-step explanation:

Given

The above table

Required

Why is it not a probability distribution

In probability, the sum of all probabilities must equal 0.

But in this case:

[tex]\sum P(x) \ne 0[/tex]

Because:

[tex]0.08 + 0.23 + 0.44 + 0.12 + 0.24 \ne 0[/tex]

[tex]1.11 \ne 0[/tex]

Hence:

Option (c) answers this question

Help Me Please.............(3)

Answers

Answer:

0

Step-by-step explanation:

Tom wanted to buy a game for $65 dollars. There is a 20% discount on the
game. What will the final cost be with 5% tax added?

Answers

Answer:

$54.6

Step-by-step explanation:

Answer:

$54.60

Step-by-step explanation:

Part 1:

65 - 65 * (20/100)

= 65 - 13

= 52

Part 2:

52 + 52 * (5/100)

= 52 + 2.6

= 54.6

$54.60

$ 600 at 5 % for 2 years

Answers

Answer:

interest = $60

Step-by-step explanation:

use the formula i = prt

p = $600

r = 5%

t = 2 years

I think it will be 60% as well

I’m having a hard time figuring this out. My calculator isn’t giving me a correct answer.

Answers

Answer:

56hj^6k^2mn

Step-by-step explanation:

Given the graphs of f(x) = -x + 2 and g(x) = 5x – 4, what is the solution to the equation f(x) = g(x)?

A) -4
B) 0
C) 1
D) 2​

Answers

Answer:

c) 1

Step-by-step explanation:

f(x) = g(x)

-x+2 = 5x-4

+x       +x

2 = 6x -4

+4      +4

6 = 6x

(divide both sides by 6)

1 = x

The correct answer to his problem is C number 1.

JENCIA DIDÁCTICA: Miércoles 17 de ma
emáticas:
Resuelve el siguiente ejercicio de varias su
5,13,21,
75,70.5,
12,32
,
120,114
Realiza los ejercicios propuestos dentro d​

Answers

By dhicwoh chqzhvyevzjsuVwgwjevjewgjevUvzueegzuwgdsusvjv jevxjevjevxuegurzrvzurzvdjz. Jevzj

Someone help and explain, please :(

Answers

add 2 to both sides: 3+2_> (<-the underline thing) , simplify 3+2 to 5: 5_>y, ur answer: y<_5
First you are going to put the y alone and the 2 and 3 together and chage signs because it will move places so it will be
-y >_ -2-3
so then what is -2-3 it is -5
You will have
-y >_ -5
Because the y is negative and the 5 is also negative and the negative and negative makes positive you will make them positive but make sure to also change the middle sign <_
The answer will be
y<_5
and this is how to graph it
Hope it helps

Ayden invested $54,000 in an account paying an interest rate of 3\tfrac{3}{4}3
4
3

% compounded quarterly. Dylan invested $54,000 in an account paying an interest rate of 3\tfrac{1}{2}3
2
1

% compounded continuously. To the nearest dollar, how much money would Dylan have in his account when Ayden's money has tripled in value?

Answers

Answer:

151283

Step-by-step explanation:

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