Basic Probability and Counting

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?

• 5/6

• 1/2

• 1/3

• 1/6

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

• 1/8

• 7/8

• 1

• 7

The probability based on frequency of outcomes during an experiment

•  experimental probability

• fundamental counting principle

• mutually exclusive event

• dependent event

The ratio of the number of ways an event can occur to the number of possible outcomes.

• odds

• theoretical probability

•  outcomes

• dependent event

In how many different ways can first, second, and third prize winners be chosen in a random drawing if 50 people entered a contest?

• 50

• 19600

• 117600

• 150

In how many different ways can the letters in the word COLLEGE be scrambled?

• 1260

• 5040

• 7

• 700

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30

• 17

• 90

• 270

A team of 8 basketball players needs to choose a captain and co-captain.

• 64

• 56

• 15

• 40,320

When does the order in which you are chosen matter?

• Combination

• Permutation

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

• 5/11

• 5/6

• 1/3

• 5