Name:______Date:______Period:_____

Pre-Algebra (5.0)

Probability Review

Chapter 12 Lessons 6, 7, and 9 and Chapter 6 Lesson 9

There are 5 cherry jelly-beans, 3 cotton-candy jelly-beans, 6 watermelon jelly-beans, and 4 popcorn jelly-beans in a jar. Suppose one jelly-bean is selected at random. Find the probability of each outcome. Express each probability as a fraction and as a percent.

  1. P(cherry)
  1. P(cotton-candy)
  2. P(not watermelon)
  1. P(sour apple)

In a standard deck of cards, one card is drawn at random. Find the probability of each outcome. Express each probability as a fraction and as a percent.

  1. P(Jack)
  1. P(black)
  2. P(hearts)
  1. P(heart or spade)

An eight-sided die is rolled and the spinner is spun. Find each probability. (Show your work!)

  1. P(4 and a yellow fruit or vegetable)
  1. P(a prime number and a red fruit or vegetable)

Find the probability of each event. (Show your work!)

  1. An eight-sided die is rolled and a coin is tossed. What is the probability of landing on an even number and getting heads?
  1. A coin is tossed and a card is drawn from a 52-card deck. What is the probability of getting tails and the ten of diamonds?
  1. Four coins are tossed what is the probability of getting four heads?

There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it is replaced. Find the probability of each outcome. (Show your work!)

  1. a green then not a green marble
  1. two green marbles in a row

There are 2 green marbles, 7 blue marbles, 3 white marbles, and 4 purple marbles in a bag. Once a marble is drawn, it is not replaced. Find the probability of each outcome. (Show your work!)

  1. a green then a white marble
  2. two purple marbles in a row

A card is drawn from a standard deck of cards. Find the probability of each outcome. (Show your work!)

  1. P(a face card or a 2)
  2. P(a red card or a king of spades)

Draw a tree diagram to find the number of outcomes for each situation.

  1. A restaurant offers three types of pasta with two types of sauce and a choice of meatball or sausage.

Find the number of possible outcomes for each situation. (Show your work!)

  1. School sweatshirts come in four sizes and four colors.
  1. A car comes with two or four doors, a four- or six-cylinder engine, and a choice of six exterior colors.
  1. Two coins are tossed and a number cube is rolled.

Tell whether each situation is a permutation or combination. Then solve. (Show your work!)

  1. How many ways can three people be selected from a group of seven?
  1. How many ways can a 6-person kickball team be chosen from 37 students?
  1. How many ways can 15 actors fill roles in a play?
  1. A telemarketing firm has 35 applicants for 8 identical entry-level positions. How many ways can the firm choose 8 employees?
  1. The local hobby store has 17 model airplanes to display. If the front case holds 6 models, how many ways can 6 planes be chosen for the front of the store?
  1. There are 15 Irish dancers in a championship-level competition. How many ways can the top 3 finishers be arranged?