IMSA Probability and Combinatorics 2

Question 1

How many ways can you choose 3 students from a class of 10 (order doesn't matter)?

Accepted Answer

120

Answer

720

Answer

30

Answer

360

Question 2

Two dice are rolled. What is the probability that both show a 6?

Accepted Answer

1/36

Answer

1/6

Answer

2/36

Answer

1/12

Question 3

A spinner has 8 equal sections numbered 1−8. What is the probability of landing on an odd number?

Accepted Answer

1/2

Answer

3/8

Answer

5/8

Answer

1/4

Question 4

How many different 3-letter arrangements can be made from the letters A, B, C, D (no repetition)?

Accepted Answer

24

Answer

12

Answer

64

Answer

6

Question 5

Events A and B are mutually exclusive. P(A) = 0.3 and P(B) = 0.4. What is P(A or B)?

Accepted Answer

0.7

Answer

0.12

Answer

0.1

Answer

1.0

Question 6

A card is drawn from a standard deck. What is the probability it is a heart or a king?

Accepted Answer

4/13

Answer

17/52

Answer

16/52

Answer

5/13