IMSA Probability and Combinatorics

Question 1

A bag has 4 red and 6 blue marbles. What is the probability of picking a red marble?

Accepted Answer

2/5

Answer

4/6

Answer

3/5

Answer

1/4

Question 2

How many ways can you arrange 4 books on a shelf?

Accepted Answer

24

Answer

12

Answer

16

Answer

8

Question 3

A coin is flipped three times. What is the probability of getting exactly 3 heads?

Accepted Answer

1/8

Answer

1/2

Answer

1/4

Answer

3/8

Question 4

A die is rolled. What is the probability of rolling a number greater than 4?

Accepted Answer

1/3

Answer

1/2

Answer

2/3

Answer

1/6

Question 5

How many 2-digit codes can be formed using digits 1-5 if repetition is allowed?

Accepted Answer

25

Answer

10

Answer

20

Answer

15

Question 6

What is the probability of drawing a queen from a standard 52-card deck?

Accepted Answer

1/13

Answer

4/52

Answer

1/4

Answer

1/52