Math Probability and Counting Principles

Question 1

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of drawing a blue marble?

Accepted Answer

3/12

Answer

1/3

Answer

1/4

Answer

3/7

Question 2

Two fair six-sided dice are rolled. What is the probability that both show a number greater than 4?

Accepted Answer

1/9

Answer

1/6

Answer

1/3

Answer

2/6

Question 3

In how many ways can 5 students be arranged in a line?

Accepted Answer

120

Answer

25

Answer

20

Answer

60

Question 4

A committee of 3 is chosen from 7 people. How many different committees are possible?

Accepted Answer

35

Answer

210

Answer

21

Answer

42

Question 5

If P(A) = 0.4 and P(B) = 0.3 and A and B are mutually exclusive, what is P(A or B)?

Accepted Answer

0.7

Answer

0.12

Answer

0.58

Answer

1.0

Question 6

A card is drawn from a standard 52-card deck. What is the probability that it is a king OR a heart?

Accepted Answer

16/52

Answer

4/13

Answer

17/52

Answer

1/4