One card is drawn at random from a deck of 52 cards. The first card is not replaced, and a second card is drawn. (Enter your probabilities as fractions.)

Required:
a. Find the probability that both cards are clubs.
b. Find the probability that the first card is a spade and the second is a club.

Answers

Answer 1

Answer:

We have a 52 card deck:

a. Find the probability that both cards are clubs.

The probability of drawing a club will be equal to the quotient between the number of clubs in the deck divided by the total number of cards in the deck.

We initially have 13 clubs and 52 cards, then the probability of drawing a club in the first draw is:

p1 = 13/52.

Now the probability of drawing a club in the second draw will be:

p2 = 12/51

Where each number is decreased by one because we already drew a card, and that card was a club.

Then the probability of both events happening will be equal to the product of the individual probabilities:

P = p1*p2 = (13/52)*( 12/51) = 0.059

b. Find the probability that the first card is a spade and the second is a club.

Same as before, the probability of first drawing a spade is:

p1 = 13/52

And the probability of drawing a club in the second draw will be:

p2 = 13/51

This case differs from the prior one because for the second draw we have 13 clubs in the deck, and as we already drew one card (that was not a club) the total number of cards in the deck is 51.

Now the joint probability will be:

P = p1*p2 = (13/52)*(13/51) = 0.064


Related Questions

How many gallons is equivalent to 20 quarts. There are 4 quarts in a gallon.
Label your answer in gallons.

Answers

Answer:

5 gallons plz give brainliest

Step-by-step explanation:

Answer:

5 gallons

Step-by-step explanation:20 gallons divided by 4 quarts = 5

20/4=5

Find the length of AB.

Answers

Answer:

Ok:

Step-by-step explanation:

So these triangles are similar. That means that the ration between their sides are the same. In this case, we have then:

AC/CB = CE/CD. Or AC/3 = 16/4.

We can solve AC to be 12. To find AB, it is AC-3 which is 9.

So AB=9

Answer

Ab=9

How I got it

AC/CB = CE/CD. Or AC/3 = 16/4.

We can solve AC to be 12. To find AB, it is AC-3 which is 9.

So AB=9

Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *

The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.

The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.

The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.

Answers

Answer:

Your answer would be The third option or C

Step-by-step explanation:

Answer:

c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

Step-by-step explanation:

math answer

helpppp it’s my friends birthday

Answers

-2(13/20)
there you go

Write three ratios equivalent to the ratios described in each situation.The ratio of cows to chickens is 3:7

Answers

6:14 and 9:21 and 12:28 is the answer

hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp

Answers

Answer:

B is the answer

Step-by-step explanation:

hey luv the answer is (d.) :)

is 0.75 repeating irrational or rational

Answers

Answer:

This is a rational decimal and is not a repeating decimal.

Step-by-step explanation:

Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ

Answers

Answer:

Stands Steakhouse has 210 servers.

Step-by-step explanation:

5 servers to 1 cook.

5/1 = x/42

x = 5 * 42 = 210

3 3/4-2 1/5 ok so its I dont know 90

Answers

Answer:

It equals to 1.55 but if had to be a fraction than it would be 31/20

Step-by-step explanation:

Answer:

i think its -1.45 but for in fraction -29/20

Step-by-step explanation:

On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY

Answers

Divide 15 by 20

15 divided by 20 is 75%

help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️ 3) Scott is twice as old as Ben. Donna is 6 years older than Ben. The sum of their ages is 34. How old are Donna, Scott, and Ben?​

Answers

Answer:

S=2B

D=B%2B6

S%2BD%2BB=34

Substitute,

2B%2BB%2B6%2BB=34

 

4B%2B6=34

4B=28

B=7

Then,

S=2%287%29=14

D=7%2B6=13

Step-by-step explanation:

hope this helps

Answer:

donna is 13

scoot is 14

ben is 7

Step-by-step explanation:

2x+6=34 2x+6-6=34-6 2x=28[tex]\frac{2x}{2} =\frac{28}{2}[/tex]x=14

Choose the correct expression for 10 decreased by 3x

Answers

Answer:

10-3x=0

    3x=10

    x=10/3

Step-by-step explanation:

the answer is x= 10/3

ANSWER QUICKLY!!!11!!!1!1

what is 3/4 divided by one - sixths

Answers

4.5, or 9/2 or 4 1/2

2,___, 8, ___, ___, 17 The first, third, and sixth terms of an arithmetic sequence are shown. What is the common difference between consecutive terms in the arithmetic sequence? Type your answer in the box. Backspace to erase.

Answers

Answer:

3

Step-by-step explanation:

The pattern is 2, 5, 8, 11, 14, 17.

Hopefully this helps!

In the Arithmetic sequence, the common difference between consecutive terms is 3 .

The general term of an arithmetic sequence is,

                  [tex]a_{n}=a_{1}+(n-1)d[/tex]

where d is common difference.

Given that,  first term [tex]a_{1}=2,a_{3}=8[/tex]

So,       [tex]a_{3}=a_{1}+2d\\\\8=2+2d\\\\2d=8-2=6\\\\d=6/2=3[/tex]

Therefore, common difference is 3.

Learn more about arithmetic sequence here:

https://brainly.com/question/13711310

Write the next three terms: 27,32,37,42,

Answers

Answer:

47,52,56

Step-by-step explanation:

you are adding 5

Of the 16 children at the park, 10 are riding bicycles and 6 are riding skateboards. Select the
statements for which the ratio is correct.
a. The ratio of bicycles to skateboards is 10 to 6
b. The ratio of skateboards to children is 3.8
c. The ratio of bicycles to children 6 to 16
d. The ratio of skateboards to children is 6 10
The ratio of bicycles to children is 5,8
The ratio of bicycles to skateboards is 5.3
e
f.
f

Answers

Answer:

Step-by-step explanation:

its a or e

Answer:

A

Step-by-step explanation:

A is bicycles to skateboards which is 10:6

W-4y+z=0 for z (please show work)

Answers

Answer: z=-w+4y

Step-by-step explanation:

W-4y+z=0

Calculate product

w-4y+z+0

Move variables to the right

28 is 7 times what number?
8 is 32 times what number?
4000 is 4 times what number?
Choose one part and explain how you know your answer is correct.

Answers

Answer:

1) 28 divided by 7 equals 4

2) 32 divided 8 equals 4

3) 4000 divided by 4 equals 1000

i hope these are right!

Answer:

4

1/4

1000

multiply it by the reciprocal of the 2nd number

Step-by-step explanation:

Help with trigonometry homework please

Answers

Answer:

I personally think it B.

Step-by-step explanation:

Use the chart and graph to find the number of pairs of size 10 1/2 shoes the store orders for a total order of 175 pairs of shoes.

Answers

Answer

Ste2p-by-step explanation:

20 BECAUSE IM DOING THE SAME TEST 20 BECAUSE COUNT UP A COLUMN

Solve for w.

w−8=32


w = 4

w = 24

w = 40

w = 256

Answers

Answer:

w=40

Step-by-step explanation:

Let's solve your equation step-by-step.

w−8=32

Step 1: Add 8 to both sides.

w−8+8=32+8

w=40

.......W=40........ So C

Please help !! Which are pairs of vertical angles?


< AOC and





Answers

Answer: all of them

Step-by-step explanation:

a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP

Answers

the answer would be ≈43.7

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?

Answers

Answer:

y=4x-10

Step-by-step explanation:

Someone please help me with number 6 lve been stuck on it forever

Answers

Answer:

x = 10

Step-by-step explanation:

8x - 13 = 5x + 17 (DE = EF)

8x - 5x = 17 + 13

3x = 30

x = 10

The square root of 9999.​

Answers

Answer:

99.99499987

Step-by-step explanation:

Answer:

99.99499987

Step-by-step explanation:

In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC

Answers

Answer:

hb=4√3

Step-by-step explanation:

Answer:

AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

To find AB:

∆ABC is an 30,60,90∆

Using the theorem, you can find AB = 2AC = 2*4 = 8

AB = 8

To find HB:

You need to find AH to subtract from AB

Construct CH, a perpendicular bisector to side AB

From before you can put together that m∠CAB = 60°

∆ACH is an 30,60,90∆

Using this method again, AH = AC/2 = 4/2 = 2

Then you subtract AH from AB = 8-2 = 6

HB = 6

To find the area of ∆ABC:

You use the (base*height)/2 method

base = AB = 8

to find the height, CH, you need to use the Pytha Theorem

and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]

then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]

calculate and get CH = 2[tex]\sqrt{3}[/tex]

then the height = CH =  2[tex]\sqrt{3}[/tex]

solve the area and get

Area of ∆ABC = 8[tex]\sqrt{3}[/tex]

(optional perimeter)

to find perimeter of ∆ABC:

you add AC + CB + AB

you find CB by using opposite to 30°

CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]

so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8

Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]

Hope this helps!!

Ms. Smith gave her class 12 minutes to read independently in class. Carrie read 5 1 2 2 1 ​ pages in that time. At what rate, in pages per hour, did Carrie read?

Answers

Answer:

51,221 pages? Ill answer i just need clarification.

Help please! 20 points for whoever answers and Brainiest for whoever gets it right!

Answers

Answer:

4s/2

Step-by-step explanation:

Since it's a square, all sides are s.

Multiply s by 4, to get 4s.

Now you do 4s/2

I'm not 100% sure but I tried :)

Answer:

hey bella jordan is searching you like a mad plzz reponse him

What is the common difference in the following arithmetic sequence? 7, 3, –1, –5, .... –3 –4 4 12

Answers

Answer:

ik its late the answer is b

Step-by-step explanation:

just took test

The common difference in the following arithmetic sequence is B)-4.

What is the common difference in the arithmetic sequence?

The commonplace difference is the value between every successive quantity in an arithmetic series. Consequently, the formula to discover the not unusual distinction of a mathematics collection is: d = a(n) - a(n - 1), in which a(n) is the nth time period in the series, and a(n - 1) is the previous term (or (n - 1)th term) in the series.

That is a mathematics sequence since there is a common difference between every time period. In this case, adding −four to the preceding time period in the collection gives the following time period. In different words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .

Learn more about the common differences here: https://brainly.com/question/503167

#SPJ2

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