Probability and Counting Principle

If there are 5 red balls, 3 blue balls, and 2 green balls in a bag, what is the probability of picking a blue ball at random?

• 1/5

• 3/10

• 4/10

• 2/10

Using the fundamental counting principle, how many different outcomes could you have if you rolled 4 different six-sided dice?

• 1,296, because 6 x 6 x 6 x 6 = 1,296

• 24, because 6 x 4 = 24

• 36, because it 6 x 6 = 36

• 360, because 6 x 5 x 4 x 3 = 360

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange?

• 9/16

• 3/4

• 9/144

• 5/16

What is the probability of rolling a 4 on a fair six-sided die?

• 1/4

• 1/2

• 1/6

• 1/3

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625

• 4.36 X 10¹⁰

• 1,081,575

How many different 3-letter combinations can be made from the letters A, B, C, and D?

• 6

• 12

• 24

• 10

In a group of 10 people, how many ways can a president, vice president, and treasurer be selected?

• 720

• 45

• 100

• 30

A committee of 5 people is to be formed from a group of 10 students. How many different committees can be formed?

• 100

• 252

• 50

• 20

If the probability of event A is 0.4 and the probability of event B is 0.3, what is the probability of both events A and B occurring?

• 0.25

• 0.1

• 0.12

• 0.7

In a deck of 52 cards, what is the probability of drawing a heart or a spade?

• The probability is 26/52 or 1/2.

• The probability is 52/52 or 1.

• The probability is 39/52 or 3/4.

• The probability is 13/52 or 1/4.