Mutually Exclusive and Inclusive Probability Worksheet



Name: _____________________________________________ Date: ____________ Period: ______________

Math 2+ Unit 4 Intro Review: Probability Problems

Mutually Exclusive, Inclusive Events, Independent, Dependent & Theoretically Probability

|1. There are 3 literature books, 4 algebra books, and 2 biology books on a shelf. If a book is randomly selected, what is the probability of selecting a literature|

|book or an algebra book? |

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|2. A die is rolled. What is the probability of rolling a 5 or a number greater |3. A card is drawn from a standard deck of cards. What is the probability of |

|than 3? |drawing a King or a face card? (Hint: A face card is a jack, queen, or king). |

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|4. Keisha has a stack of 8 baseball cards, 5 basketball cards, and 6 soccer cards. If she selects a card at random from the stack, what is the probability that it |

|is a baseball or a soccer card? |

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|5. Each of the numbers from 1 to 30 is written on a card and placed in a bag. If one card is drawn at random, what is the probability that the number is a multiple|

|of 2 or a multiple of 3? |

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|6. There are 8 girls and 8 boys on the student senate. Three of the students are |7. A card is drawn from a standard deck of cards. What is the probability of |

|seniors. What is the probability that a person selected from the student senate |drawing a queen or a spade? |

|is not a senior? | |

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|8. Find the probability of tossing two number cubes and getting a 3 on the first|9. A box contains a nickel, a penny, and a dime. Find the probability of |

|roll and 5 on the second roll. |choosing first a dime, and then, without replacing the dime, choosing a penny. |

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|10. Sylvia has a stack of playing cards consisting of 10 hearts, 8 spades, and 7 |11. A card is drawn from a standard deck of cards. What is the probability of |

|clubs. If she selects a card at random from this stack, what is the probability |drawing an ace or a face card? (Hint: A face cards is a jack, queen, or king). |

|that it is a heart or a club? | |

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|12. In the Math Club, 7 of the 20 girls are seniors, and 4 of the 14 boys are seniors. What is the probability of randomly selecting a boy or a senior to |

|represent the Math Club at a statewide math contest? |

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13. There are 5 slices of pepperoni pizza, 1 slice of sausage pizza, and 3 slices of cheese pizza left. Without looking, Mr. Douglas took a slice of pizza, ate it, and then took another slice. What is the probability of Mr. Douglas eating two slices of cheese pizza?

14. A drawer contains 10 blue pens, and 10 red pens. Without looking, Mrs. Stanton is going to take one pen from a drawer, use it, and then put it back in the drawer. Then he is going to take another pen from the drawer to use. What is the probability of Mrs. Stanton taking a red pen first and then taking a blue pen? P(red, then blue)?

15. Bag A contains 10 marbles of which 2 are red and 8 are black. Bag B contains 12 marbles of which 4 are red and 8 are black. A ball is drawn at random from each bag.

a) Draw a probability tree diagram to show all the outcomes the experiment.

b) Find the probability that:

(i) both are red. (ii) both are black.

(iii) one black and one red (any order). (iv) at least one red.

16. A coin is biased so that it has a 60% chance of landing on heads. If it is thrown three times.

a) Draw a probability tree diagram to show all the outcomes the experiment.

Find the probability of getting.

b) three heads c) 2 heads and a tail (any order) d) at least one head (any order)

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