You have a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and
spades. Each suit consists of cards numbered 2 - 10, a jack, a queen, a king, and an ace.
You select one card at random from the deck. Let A be the event that the randomly selected card is a club and
let B be the event that the card is a 5. Based on this information, answer the following questions.
What is P(A), the probability that the card is a club?
What is P(B), the probability that the card is a 5?
What is P(A and B), the probability that the card is a club and a 5?
What is P(BA), the conditional probability that the card is a 5 given that it is a club?
Is P(BA) = P(B)? Are the events A and B independent?

Answers

Answer 1

Answer:

P(A)=0.25

P(B)=0.077

P(AB)=0.192

P(BA)=0.083

Check below for the full numbers, I rounded it for you.

Step-by-step explanation:

What is P(A), the probability that the card is a club?

So whenever you get a deck of cards you'll have 52 which have 4 suits, think of it like UNO, and club is one of the suit's name! This mean all this question is asking you is the probability of getting a club out of the 52 cards which is

52/4=13

So we know that there is 13 club cards.

Meaning the probability is a 25% since you can only get it 1/4 of the time.

P(A)=0.25

What is P(B), the probability that the card is a 5?

Same as what I stated earlier but this time you only have 4 cards that can be a "5" out of the 52 cards.

4/52=0.076923

P(B)=0.077

What is P(A and B), the probability that the card is a club and a 5?

Keep a eye on the working "and" this means it's referring to the possibility of getting a club and a 5 and since this can only happen once the chances are extremely slim.

1/52=0.1923076

P(AB)=0.192

What is P(BA), the conditional probability that the card is a 5 given that it is a club?

This assumes that you're only drawing from a deck of ONLY clubs so the chances of getting a 5 in that stack.

1/12=0.08333 (3 keeps going)

P(BA)=0.083

(This one might be wrong since I haven't done conditional probability in a long time but I feel somewhat confident, I do feel confident about the rest so no worries.)

Is P(BA) = P(B)? Are the events A and B independent?

No, P(BA) = P(B) is not true since A and B do influence one another since what if I get a 5 without replacement this results in change of chances of A.

Answer 2

Answer:

1.1/4

2.1/13

3.1/52

4.1/13

5. Yes p(B/A)=P(B) and Yes, events A and B are independent events.

Step-by-step explanation:

khan academy walk through


Related Questions

In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
tenth.

a= 7.7 ft, b= 16 ft

Answers

9514 1404 393

Answer:

  c = 17.8, A = 25.7°, B = 64.3°

Step-by-step explanation:

Side c can be found from the Pythagorean theorem:

  c = √(a² +b²)

  c = √(7.7² +16²) = √315.29

  c ≈ 17.8 . . . feet

__

The tangent relation is ...

  Tan = Opposite/Adjacent

  tan(A) = a/b = 7.7/16

  A = arctan(7.7/16)

  A ≈ 25.7°

  B = 90° -25.7°

  B = 64.3°

Which point represents 3.9?

Answers

Answer:

What do you mean there is not a graph...do you have a  picture?

Step-by-step explanation:

Answer: B

Step-by-step explanation:

A = 3.8

B = 3.9

C = 4.0

D = 4.2

You take 4.5 - 3,6 = 0.9, so each big line should be .3.

Please assist with the geometry questions part 1​

Answers

9514 1404 393

Answer:

  1.  sin(x) = a/c; cos(x) = b/c; tan(x) = a/b

  2, 3 see below

Step-by-step explanation:

1. The mnemonic SOH CAH TOA reminds you of the relationships between trig functions and sides of a right triangle:

  Sin = Opposite/Hypotenuse   ⇒   sin(x) = a/c

  Cos = Adjacent/Hypotenuse   ⇒   cos(x) = b/c

  Tan = Opposite/Adjacent   ⇒   tan(x) = a/b

__

2. The attachment shows the two special right triangles. The 30-60-90 right triangle has sides in the ratio 1 : √3 : 2. The 45-45-90 isosceles right triangle has sides in the ratio 1 : 1 : √2.

These ratios can be used to write proportions that help you find the length of a missing side.

Example:

Suppose the triangle in problem 1 has x = 30°, and a = 10. Then we could find the length of missing side 'c' using a proportion involving the short side and the long side (hypotenuse).

  2/1 = c/10   ⇒   c = 20

__

3. In a right triangle, the acute angles are complementary. The side adjacent to one acute angle is the side opposite the other. So the sine of one of the angles is the cosine of the other, and vice versa. This means the sine of an angle is the cosine of its complement, and vice versa.

__

Comment on question 3

The wording of this question is a little strange. Sine and cosine are not complementary. Rather, the angles for which those functions have the same value are complementary.

I NEED HELP!! The amount of food a dog should eat daily is based on its weight. The picture shows the ratio of weight to cups of food.

A photo of a dog is shown. The caption shows that the dog is fifty pounds and the food dish contains two cups.

Question 1
Part A

What is the ratio of cups of dog food to the dog’s weight in pounds? Use a fraction or a colon to write the ratio

Answers

Answer:

100 llbs

Step-by-step explanation: i think

Please help with the question in the attachment. Do not give an improper answer or you will be reported.

Answers

9514 1404 393

Answer:

  2876 books

Step-by-step explanation:

If we let y1 and y2 represent the costs from method 1 and method 2, then we have, for x books published, ...

  y1 = 12841 +24.25x

  y2 = 48072 +12x

These costs will be equal when ...

  y1 = y2

  12841 +24.25x = 48072 +12x

  12.25x = 35231 . . . . . . . . . . . . . subtract 12841+12x

  x = 2876 . . . . . . . . . . divide by 12.25

The costs will be the same for production of 2876 books.

100%
?
What percent is represented by the shaded area?
1%
Stuck? Watch a video or use a hint.

Answers

90%. Mfodndjdlhdjdndbdbdk

Roberto is 3 years older than Carolyn. In 7 years the sum of their ages will be 81. How old is Roberto now?

Answers

Answer: 35

the age of Roberto is x (x > 3)(x ∈ N)

because Roberto is 3 years older than Carolyn => the age of Carolyn is x - 3

in 7 years, the age of Roberto is x + 7; the age of Carolyn is x - 3 + 7 = x + 4

because  In 7 years the sum of their ages will be 81 =>

x + 7 + x + 4 = 81

⇔ 2x + 11 = 81

⇔ 2x = 70

⇔ x = 70/2 = 35

=>  the age of Roberto is 35

Step-by-step explanation:

Find the equation of the linear function represented by the table below in slope intercept form.

Answers

Answer:

Y=1x-7

Step-by-step explanation:

First use two points to find the slope. I used the first 2. The formula is (y1-y2)/(x1-x2). So (6-8)/(1-3)= -2/-2 = 1. Then you plug in a point and the slope for the equation y1-y2=m(x1-x2). I am using the first point and m is the slope which is 1. Y-6 = 1(x-1)

y-6 = 1x -1 then get y by itself

y=1x-7

evaluate 9.5v + 8.9w when v=6 and w=7

Answers

Answer:119.3

Step-by-step explanation:

9.5*6=57

8.9*7=62.3

57+62.3=119.3

3)
Ross wants to know what interest rate he needs to make his $800 grow to
$1000 in 4 years.

Answers

Answer:

Why?:

The interest formula is A = P(1+r/m)^mt

A is the Amount, P is principal (initial investment), R is rate, M is times per year (not used) and T is time.

So if we want 1000 = 800(1+r)^4, we need to find R. In this case, R is about 5 percent.  (I'm not super confident, so see if you have other answers)

0.000032 ÷ (8 × 10-3)

4x10^-3

Answers

Answer:

Step-by-step explanation:

=0.000002x10−3

symbolab the calculator will help you with the steps and answer

I’m dumb so can u pls help me

Answers

Answer:

(1, 6)

(2, 12)

(1.5, 9)

(2.5, 15)

#teamtrees #WAP (Water And Plant)

Would someone mind helping me? I really need this answer but I'm so confused. I would appreciate any help :) and if you get the answer right, ill give you brainliest.

Answers

Answer:

A. the slope is -2

    the y-intercept is (0,1)

Step-by-step explanation:

If y=mx+b, m is the slope and b is the y-intercept.

If we replace the variables with y=-2x+1, we can see -2 is the slope and the y-intercept is (0,1).


please answer this question GIVING BRAINLIEST!!

Answers

Answer:

b

attention:

please i saw in this picture that you wrote for the question 10 that I solved before number -5

and the answer i got was 5 not -5 hope I am talking about the question I answered before.

Solve for x in the equation X^2-12x+36 = 90.

Answers

Answer:

Steno lo sebroo disculpa pero lo hice por los puntos gracias

x= 5.4 x^2-12x is ten and then 5.4*10 is 54 and 54+36=90

Is (8,2). (7,2). (6,3) a function?

Answers

Yes it is .no points over

It costs $1.08 to buy 3 green marbles. If the marbles all have the same price, how much
does it cost to buy 1 marble?

Answers

Answer:

0.36$

Step-by-step explanation:

1.03/ 3 marbles = 0.36$ per marble.

one marble is 36 cents

1.08÷3=36

The original price was $20, the sales price is $15. Is this an increase or decrease? What was the percent change?

Answers

Answer: Decrease by 30%

Step-by-step explanation:

Jack's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?

Answers

3080 inches
bc i did 20x14x11 on a calculator
It's 3,080.

V= L•W•H
V=20•14•11
V=20•14=280•11=3,080
V=3,080

HELP PLS FOR 10 POINTS AND BRAINLIEST TO CORRECT ANSWER The cost, C, to ride in a taxi can be calculated using the function shown, where m is the number of miles.
C = 2.25 +0.85m
What is the cost per mile to ride in the taxi?

A. $0.85
B. $1.40
C. $2.25
D. $3.10

Answers

9514 1404 393

Answer:

  A.  $0.85

Step-by-step explanation:

Each time m increases by 1, the cost goes up by $0.85.

The cost per mile is $0.85.

A marching has 4 rows of trumpets with 10 trumpets in each row. How many trumpets are in the marching band. Use distributive property to solve.

Answers

Answer:

4x10=40 10

Step-by-step explanation:

10 people in each row. 4 rows of people. 10+10+10+10

What is the decimal value of the hex number ABE?

Answers

Answer:

The value of HEX ABE in decimal is 2750.

Step-by-step explanation:

Hex ABE to decimal explained:

The value of HEX ABE in decimal is 2750.

The value of HEX ABE in binary is 101010111110.

E 14 X 160 = 14

B 11 X 161 = 176

A 10 X 162 = 2560

HEX ABE = 2750

the binary value is: 101010111110

I'm not gonna put the list anymore  just look on your other questions XD

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)

If you can walk 3.7 miles in 1.2 hours, how many minutes does it take to walk 3.37 miles? Round to 1 decimal.

Answers

Answer:

I think 35 min

Step-by-step explanation:

)Kelly read 30 pages of her 300-page book in 6 hours. At this rate, how long will it take her to read the entire book? 60 hours 5 hours 6 hours 30 hours

Answers

Answer:

What would you want the answer in?

Step-by-step explanation:

Answer:

60 hours

Step-by-step explanation:

That is really slow reading

the difference between twice a number and a number that is 5 more than it is 3. What is the number?

Answers

Answer:

4?

Step-by-step explanation:

Answer:

2n-(n+5)=3

Step-by-step explanation:

Here are four false statements about the graph.
Select one and explain why it's false.
The domain is -6 The domain is -5 The range is y < 5
The range is -5y<1

Answers

Answer:

Range:y[tex]\leq[/tex]5

Step-by-step explanation:

Since y is always less than 5, y cannot be equal to it since the highest value of y was about 4.

The statement of cash flows is an optional financial statement.
True
Or False

Answers

Answer:

The statement of cash flows is an optional financial statement. The statement of cash flows shows the effects on cash of a company's operating, investing, and financing activities. The statement of cash flows reports a firm's major sources of cash receipts and major uses of cash payments for a period.

a metal washer has a mass of 0.27 G and a volume of 0.1 CM3 what is its density​

Answers

Answer:

density equals mass over volume

D=.27G/ .1CM3

Step-by-step explanation:

hope this helps

is y=-7/9x+2 proportional or non proportional

Answers

Yes it is proportional. Graph the relationship. If the graph is a straight line having a slope that is neither zero nor infinity, the relationship between the variables is proportional. Inspect the equation to see if it has (or can be made to have) the form y = kx, or x = ky, where k is a constant. In other words, if the slope of the line is neither zero nor infinity, it is proportional.

Mr. Roberts had $9,512 in savings. He saved another $488. He then used all his money to buy 500 books. He sold the books for $35 each. How much did Mr. Roberts earn from selling each book? a. Mr. Roberts earned $ from selling each book. b. Travis got $20 as the answer or the amount Mr. Roberts earned from selling each book. Is his answer correct? yes no c. Tell why Travis is or is not correct.

Answers

Answer:

a. Profit from each book = $15

b. No, Travis was wrong.

c. Travis isn't correct because Mr. Roberts made $15 from the sales of each book.

Step-by-step explanation:

Given the following data;

Number of books bought = 500

Selling price = $35

Robert savings (cost price) = $9,512 + $488

Robert savings (cost price) = $10,000

Purchasing price = $10,000/500 = $20

Revenues from book sold = 500 * 35 = $17,500

Total profit = Revenues - Cost price

Total profit = $17,500 - $10,000

Total profit = $7,500

To find the amount earned from each book;

[tex] Profit \; from \; each \; book = \frac {Total \;profit}{Numbers \; of \; book} [/tex]

Substituting into the equation, we have;

[tex] Profit \; from \; each \; book = \frac {7500}{500} [/tex]

Profit from each book = $15

Therefore, Mr. Roberts earned $15 from selling each book.

Check:

Selling price = purchasing price + profit = $20 + $15 = $35

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