Chapter 12 Probability Review Name: ______

Probability and Odds:

  1. When rolling a number cube, what is the probability of rolling a multiple of 3?

P( rolling a multiple of 3) = ______

  1. You have a bag of 6 green marbles, 5 blue marbles, 7 orange marbles, and 2 pink marbles. Use this information to answer the following questions.
  1. What is the probability of choosing a pink marble? P(pink marble) = ______
  1. What are the odds in favor of selecting an orange marble? Odds in favor of orange = ______
  1. What are the odds against selecting green marble? Odds against a green = ______
  1. The probability of selecting a red marble from a bag is. What are the odds in favor of selecting a red marble from that bag? Odds in favor of a red = ______
  1. The odds in favor of selecting a black marble from a bag are. What is the probability of selecting a black marble from the bag? P( black marble) = ______
  1. The probability of selecting a purple marble from a bag is 35%. If there are 42 purple marbles in the bag, how many total marbles are in the bag?

______

Independent and Dependent Events

  1. You pick a marble from a bag containing 2 green, 5 red, 2 yellow, and 3 black marbles. You replace the first marble, then a second and replace it, and then a third. What is the probability of the following events: Show all your work!!!
  2. P(red, then yellow, then red) ______b. P( yellow, then black, then green) ______
  1. Three boys and two girls volunteer to represent their class at a school assembly. The teacher selects one name and then another from a hat containing the five students’ names. What is the probability of the following events: Show all your work!!!!
  2. P( girl, then boy) ______b. P( boy, then boy) ______
  1. You have twenty five light bulbs in a bag. Five of the light bulbs to do not work. What is the probability that you will choose a light the works, and then choose a light bulb that does not work?

______

  1. When a quality control manager tests the I-phones, he found that 5% of them are defective. If you go to the store and buy 2 I –phones, what is the probability that they will both work?

______

  1. You are taking a two question multiple choice test. Each question has four choices. What is the probability of you guessing and getting both questions correct?

______

Permutations and Combinations

  1. Candidates for 3 different political offices are to be chosen form a list of 10 people. In how many ways may this be done? You may not use a calculator.

Permutation or Combination? ______

n = ______
r = ______

  1. There are 25 entries in the coloring contest. The judges will pick a first-, second-, third-, and forth place winner. In how many ways can the winners be selected? You may use a calculator.

Permutation or Combination? ______

n = ______
r = ______

  1. You are at an ice-cream shop that has 15 different flavors. You are allowed to choose any 3 flavors for a ice-cream cone. How many different ice-cream cones are available?You may use a calculator.

Permutation or Combination? ______

n = ______
r = ______

  1. At the store you spot 6 candy bars. You are able to buy any 3 of those candy bars. How many different groups of candy bars can you buy?

Permutation or Combination? ______

n = ______
r = ______

Mutually Exclusive and Inclusive

  1. When rolling a number cube, what is the probability of rolling a 3 or a number greater than 4?

P( rolling a 3 or number greater than 4)

  1. When rolling a number cube, what is the probability of rolling an even number or a number less than 5?

P( rolling an even number or number less than 5)

  1. You are selecting cards from a 52 card deck. What is the probability of selecting an ace or a black card?

P(selecting an ace or black card)

  1. You are selecting cards from a 52 card deck. What is the probability of selecting a red 10 or a King, Jack, or Queen?

P( selecting a red 10 or King, Queen or Jack)

Counting Principle

  1. You are eating at Texas Roadhouse, you can select from 4 appetizers, 20 main course meals, and 3 desserts. How many possible combinations of appetizers, meals, and desserts are possible?
  1. You are rolling a two 8 sided dice and flipping a coin. How many possible outcomes are there?

Mix it up:

  1. You are selecting a card from a deck of 52 cards. What is the probability of selecting a diamond, placing it back in the deck and selecting an ace?
  1. You are rolling a number cube, what is the probability of rolling a number greater than 2 or an odd number?
  1. You are rolling a number cube and flipping a coin. What is the probability you roll a 2 and flip a head?
  1. There are 10 contestants entered into a race. How many ways can there be a first, second, third and fourth place winner?
  1. When ordering a pizza you can order a small, medium, or large. You may choose from 10 toppings. There are also three different types of crust you can choose. How many different pizzas can you order?