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


One of the largest cookies made on record had a diameter of 78.75 feet. What was the circumference of the cookie?

Answers

Answer:

247.4

Step-by-step explanation:

- you can either use pi*diameter or 2pi*radius

- [tex]\pi (78.75) = 247.4[/tex]

Please help. Brainliest to correct answer.

Answers

i’m 99% sure it’s 21

The current temperature is 54 °F, convert the temperature to Celsius.

Answers

Answer:

b) 12.2222

Step-by-step explanation:

(54°F − 32) × 5/9 = 12.222°C

Answer:

The answer is

B ) 12.2

Step-by-step explanation:

(54°F − 32) × 5/9 = 12.222°C

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

The chart below contains the results of a survey in which students were asked about their cell phone plan.

Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4

What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing

Answers

Answer:

It is option C.

Step-by-step explanation:

I did the test.

Answer:

it c

Step-by-step explanation:

i did the unit test hope this helps :)


Please answer this question! as fast as possible please anyone help

Answers

the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be

y=3x+-3

Ms. Hamby gave a quiz. Two students' work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form. Part A Based on Ms. Hamby's answer key, how many questions did Student A answer correctly? Explain your response.

Answers

Answer:

attach a picture

Step-by-step explanation:

E
Learning Task 2. Give the reciprocal of the given fractions below.
Write your answer in your notebook.
6
1.
6.
2
8.
7
2. 7
7.
1
2
8
3.
8.
4
4
33-
5
als -|- ||-|-
5
4. 41
9.
5
6
5.
1
10. 1
54
5
5
A
Reciprocals represent two numbers whose product is one. Multi-6/8​

Answers

The correct format of the options are

(1) 6/8                    (6) 2/7

(2) 7/2                    (7) 1/8  

(3) 33[tex]\frac{4}{5}[/tex]                    (8) 4/5

(4) 41                      (9) 5/6

(5) 54[tex]\frac{1}{5}[/tex]                    (10) 1/5

Answer:

Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1

Reciprocal of the following are as follows

(1) [tex]\frac{8}{6}[/tex]  

(2) [tex]\frac{2}{7}[/tex]

(3) 33[tex]\frac{4}{5}[/tex]  =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 =>  reciprocal = 5/169

(4) 1/41

(5)  54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271

(6) 7/2

(7) 8

(8) 5/4

(9) 6/5

(10) 5

In a proof of the Pythagorean theorem using similarity, what allows you to state that the triangles are similar in order to write the true proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction?

the geometric mean (altitude) theorem
the geometric mean (leg) theorem
the right triangle altitude theorem
the SSS theorem

Answers

Answer:

C: the right triangle altitude theorem  

Step-by-step explanation:

In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar.

What is geometric mean(altitude) theorem?

We know that the geometric mean (altitude) theorem states that the altitude is equal to the geometric mean of the two segments.

We know that the geometric mean (leg) theorem states that a leg is the geometric mean between the hypotenuse and the leg's projection on it in every right triangle.

We know that the right triangle altitude theorem states that If we draw an altitude in a right triangle from the vertex which contains the right angle to the opposite side, the triangles on both sides of the altitude are congruent, and the entire triangle is congruent as a result.

We know that the SSS theorem If the three sides of one triangle are equal to the three sides of the other, then the two triangles are congruent.

How to tackle the problem?

Here, we have to find the specific theorem which demonstrates the equality of proportionate values in the Pythagorean theorem. From the above theorems, we can conclude that our required theorem is the right triangle altitude theorem.

Therefore In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar. So, option C is correct.

Learn more about the right triangle altitude theorem here -

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The function y=15x + 100 models the freight shipping charge of x pounds of cargo. What best describes the constant term of the function

Answers

Answer:

the constant is 15

Step-by-step explanation:

because it is constantly going up. the slope (15x) is what changes.

How do break down what is the percentage of change in cost of the pizza

Answers

Annsjsnsns sjjejskwnw isjejejej siiejekwknwjes

8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew

Answers

Answer:

$17.80

Step-by-step explanation:

This is a fairly simple question. All we need to do is find the difference between the two amounts.

$94.30 - $76.50 = $17.80

What is the sum of (5x2 + x - 3) and (-4x2 - x +9) ?

Answers

Answer:

[tex]x^{2} + 6[/tex]

Step-by-step explanation:

Whoever answers gets brainlist!

Answers

Answer:

1 ST ONE

Step-by-step explanation:

Answer:

No, because its racional


What equation is graphed in this figure?

Answers

I believe it’s the last answer the fourth one

Find the solutions to the equation below.
Check all that apply.
6x2 + 7x -5 = 0
A. x = 1/3
B. x = 5
c. x = -5/3
D. x = -1/3
E. x = 1/2
F. x = -2

Answers

Answer:

A and C

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero


A dollhouse uses a scale factor of 1/12 The perimeter of a square room in
the dollhouse is 36 inches. What is the length of the full-size room?
Please explain also thanks

Answers

Answer:

really phoung. lol its me maham

Step-by-step explanation:

1/2+1/12 en mínima fracion​

Answers

Answer:3/4

Step-by-step explanation:

First get the common denominator that is 12 then divide 12 by the first denominator which is 2 then add the numerator which is 1 then you will get 7 then repeat to second denominator just divide 12 by 12 then add 1 then add the numerator and copy the denominator. To simplify your answer just divide both by 3 and you will get the final answer of 3/4.

In general, how tall are giraffes? stat or not stat

Answers

Answer:

18 feet tall

Giraffes are the tallest land animals. Female giraffes are up to 14 feet tall and weigh up to 1,500 pounds. Meanwhile, males are up to 18 feet tall and can weigh 3,000 pounds.

Meet Forest, the tallest giraffe in the world

(CNN) A male giraffe living in a zoo in Australia has been crowned the tallest of them all, hitting a giddy 5.7 meters (18 feet, 8 inches). Isn't that cool?!

( just so you know some of this information was with the help of google)

Brainliest?

David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay

Answers

Answer:

13 : 4

Step-by-step explanation:

13 : 4

he has 13 cows and he has 4 bales of hay so 13:4

you can't simplfy it so its still 13 : 4

The cost of an item is $0.30 per ounce. If total cost of the item is $3.60, how many ounces are in the item?

Answers

Answer:

Example 1: - If the item's label displays the weight as 3 lb 2 oz, type the shop name and item's brand, enter 3 in the pounds field, leave the 00 (decimal) value unchanged, enter 2 in the ounces field, leave the 00 (decimal) value unchanged, fill out the Price field and Calculate to get the price per ounce

Answer:

12 ounces

Step-by-step explanation:

3.60 = .3x

divide by .3 on both sides

12 = x

solve for x. 0.9(x+1.4)−2.3+0.1x=1.6

Answers

Answer:

=2.64

Step-by-step explanation:

A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft

Answers

Answer:9 ft

Step-by-step explanation:

The requried measure of the AB is given as 7ft. Option B is correct.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9

Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft

Thus, the requried measure of the AB is given as 7ft. Option B is correct.

Learn  more about Pythagorean triplets here:

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Dennis wants to save $189 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?

Answers

Answer:

x = 13.5 weeks

Step-by-step explanation:

Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.

189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.

what is 3.7 plus 2.774

Answers

Answer:

4.474 it is simple you just add them

Answer:

6.474

Step-by-step explanation:

i calculated it

200z + 50 = 8000 solve this problem

Answers

Answer:

39.75

Step-by-step explanation:

First, subtract 50 from both sides

200z + 50 - 50 = 8000 - 50

200z = 7950

Then isolate the variable by dividing both sides by 200

200z/200 = 7950/200

z=39.75

Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute?
There are 60 minutes in 1 hour.
Label your answer in km.

Answers

Answer:

0.25km

Step-by-step explanation:

What is 0.12 times 105
Pls help

Answers

Answer:

12.6

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

12.6

Step-by-step explanation:

0.12*105=12.6

If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
“I think of a number, add 3 to it and multiply the result by 7."

Answers

7(X+3) is the answer your welcome

is 0.75 repeating irrational or rational

Answers

Answer:

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

Step-by-step explanation:

Which expression is equivalent to y^3-2y^2+y

Answers

Answer:

the first one i did it yesterday

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