Quiz about Conditional Probability

Question 1

What is the probability that the person picked will be a boy given they speak German?

Accepted Answer

.7273

Answer

.4

Answer

.16

Answer

.22

Question 2

What is the probability that a student plays a sport given they do not play an instrument?

Accepted Answer

.2222

Answer

.2

Answer

.10

Answer

.5

Question 3

What is the probability that they speak French given they are a girl?

Accepted Answer

.4

Answer

2.14

Answer

.24

Answer

.8571

Question 4

P(Pizza|Senior):

Accepted Answer

2/3

Answer

10/15

Answer

4/5

Answer

10/5

Question 5

What is the probability of a passenger on the Titanic surviving given they were in first class?

Accepted Answer

.6246

Answer

.2855

Answer

.0922

Answer

.3230

Question 6

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Full-time | Male)

Accepted Answer

3/10

Answer

7/3

Answer

3/7

Answer

4/7

Question 7

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Female | Part-time) =

Accepted Answer

15/43

Answer

15/31

Answer

43/71

Answer

31/43

Question 8

Given the following VENN Diagram answer the following.

P( A | B )

Accepted Answer

.4

Answer

2

Answer

.6

Answer

.8

Question 9

What is the probability that a student plays an instrument

Accepted Answer

.55

Answer

.5

Answer

.45

Answer

.4

Question 10

What is the probability of choosing a Honda?

Accepted Answer

.5373

Answer

.5970

Answer

.4627

Answer

.4030

Question 11

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

Accepted Answer

3/5

Answer

9/100

Answer

1/10

Answer

2/5

Question 12

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

Accepted Answer

5/6

Answer

1/2

Answer

1/3

Answer

1/6

Question 13

Your drawer contains 6 red socks and 10 blue socks. It's too dark to see which are which, but you grab two anyway. What is the probability that both socks are red?

Accepted Answer

1/8

Answer

5/15

Answer

36/256

Answer

1/3

Question 14

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.

Accepted Answer

3/4

Answer

3/5

Answer

3/20

Answer

2/5

Question 15

What percentage of students do chores?

Accepted Answer

64%

Answer

81%

Answer

36%

Answer

31%

Question 16

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies?

Accepted Answer

27/40

Answer

1.48

Answer

.008

Answer

.0593

Question 17

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

Accepted Answer

72.3%

Answer

16%

Answer

1.38%

Answer

Not enough information

Question 18

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

Accepted Answer

59.5%

Answer

10.5%

Answer

1.6%

Answer

Not enough information

Question 19

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

Accepted Answer

60%

Answer

40%

Answer

24%

Answer

1.7%

Question 20

A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement (that means they keep them!). If the first marble drawn is red, what is the probability that the second marble drawn is blue?

Accepted Answer

66.7%

Answer

24.5%

Answer

42.9%

Answer

57.1%

Question 21

What is P(Ace given hearts)?

Accepted Answer

7.7%

Answer

1.9%

Answer

25%

Answer

6.3%

Question 22

What is P(clubs given red)?

Accepted Answer

0%

Answer

50%

Answer

25%

Answer

12.5%

Question 23

What is the probability of spinning green?

Accepted Answer

1/4

Answer

0

Answer

1/2

Answer

3/4

Question 24

What is the probability of spinning an even number?

Accepted Answer

50%

Answer

16 2/3%

Answer

33 1/3%

Answer

75%

Question 25

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

Accepted Answer

1/3

Answer

3/10

Answer

3/9

Answer

1/9

Question 26

The probability of it raining today is 30%.  What is the probability that it will NOT rain?

Accepted Answer

70%

Answer

30%

Answer

100%

Answer

0%

Question 27

What is the complement of the probability that you roll a 2 on a fair die?

Accepted Answer

5/6

Answer

1/6

Answer

1/2

Answer

1/3

Question 28

Which event is not a dependent event?

Accepted Answer

Picking an earring, replacing it, then picking a 2nd earring

Answer

Picking 2 students to each be line leader and door holder from a group of 20 students

Answer

Picking 2 marbles from a bag without replacing the first marble

Answer

Picking 2 crayons from a box at the same time (simultaneously)

Question 29

Describe the event as independent or dependent: Susie draws a card from a deck of cards and replaces it. She then draws a second card.

Accepted Answer

Independent

Answer

dependent

Question 30

Find the probability of: P(D and 1)

Accepted Answer

1/8

Answer

1/12

Answer

1/24

Question 31

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

Accepted Answer

1/12

Answer

1/4

Answer

1/8

Answer

1/2

Question 32

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.

Accepted Answer

6/121

Answer

4/121

Answer

8/121

Answer

3/121

Question 33

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.

Accepted Answer

Dependent

Answer

Independent

Question 34

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

Accepted Answer

Dependent

Answer

Independent

Question 35

What is the probability of drawing a black card from a deck of cards, putting it aside, and then drawing a red card?

Accepted Answer

Dependent

Answer

Independent

Question 36

Is the event Dependent or Independent?
Rolling a die twice

Accepted Answer

Independent

Answer

Dependent

Question 37

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. What is the probability that both times it is a nickel?

Accepted Answer

36/169

Answer

30/169

Answer

42/169

Answer

6/13

Question 38

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B. Are these two events dependent or independent?

Accepted Answer

15%, independent

Answer

15%, dependent

Answer

10%, dependent

Answer

10%, independent

Question 39

The spinner is spun twice. What is the probability that it lands on white first and then blue?

Accepted Answer

12.5%

Answer

25%

Answer

6.25%

Answer

50%

Question 40

Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?

Accepted Answer

1/52

Answer

2/52

Answer

1

Answer

13/52

Question 41

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

Accepted Answer

1/4

Answer

1/3

Answer

1/2

Answer

1/6

Question 42

A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than four and tossing tails?

Accepted Answer

1/6

Answer

1/3

Answer

1/2

Answer

1/4

Question 43

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number, replacing that card and then drawing a card with a number greater than or equal to four?

Accepted Answer

30%

Answer

25%

Answer

67%

Answer

60%

Question 44

When randomly drawing from a standard deck of 52 playing cards, what is the probability of drawing a 9 four times in a row if the cards are not replaced?

Accepted Answer

1/270,725

Answer

1/5,525

Answer

1/28,561

Answer

1/4

Question 45

What is the probability of tossing a coin four times and getting tails each time?

Accepted Answer

6.25%

Answer

12.5%

Answer

50%

Answer

25%

Question 46

If 200 students names were put in a box, with 100 of them being boys and 100 being girls, what would be the probability of drawing 4 girls names sequentially (in a row)

Accepted Answer

6.25%

Answer

100%

Answer

25%

Answer

50%

Question 47

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

Accepted Answer

0

Answer

1/14

Answer

1/2

Answer

1/7

Question 48

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

Accepted Answer

1/27

Answer

1/9

Answer

1/6

Answer

2/9

Question 49

There are 4  butterscotch 6 milk chocolates and 3 fireballs in a bag. What is the probability of getting a buuterscotch, then a fireball, and lastly a chocolate, without replacement.

Accepted Answer

6/143

Answer

2/119

Answer

3/214

Answer

9/217

Question 50

Want to hear a joke about paper?

Accepted Answer

Nevermind, It's a tearable joke anyways.

Answer

There are no funny paper jokes.

Answer

4 + 5 = 7. True story.

Answer

I like paper.

Question 51

How does a penguin build it's house?

Accepted Answer

Igloos it together.

Answer

They buy them from other penguins.

Answer

Penguins don't need houses.

Answer

Brick by brick.

Question 52

What do you call an alligator detective?

Accepted Answer

An investi-gator.

Answer

Hey you!

Answer

I like ice cream.

Answer

Bugs.

Question 53

Why do seagulls fly over the sea?

Accepted Answer

Because if they flew over the bay, they would be Bagels.

Answer

They like flying?

Answer

Better than swimming.

Answer

To get to the other side.

Question 54

What kind of music do planets like?

Accepted Answer

Neptunes.

Answer

Rock

Answer

Inter - planetary tunes.

Answer

Country

Question 55

Why did the barber win the race?

Accepted Answer

He knew a shortcut.

Answer

Good runner.

Answer

No one else was running.

Answer

He cheated.

Question 56

What do cows use to order new furniture?

Accepted Answer

Cattle-logs.

Answer

Ikea.

Answer

Furniture-R-Us.

Answer

Amazon.

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