Algebra 2

11.3 Probability of Multiple Events

A die is rolled. Find each probability.

1. P(1 or 6)2. P( at least 5)3. P(less than 3)

4. P(prime)5. P(even or prime)6. P(multiple of 2 or 3)

A card is drawn from a standard deck of cards. Find the probability.

7. P(6 or king)8. P(queen or spade)

  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?
  1. A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
  1. 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?
  1. A card is drawn from a standard deck of cards. What is the probability of drawing an ace or a face card?
  1. One tile with each letter of the alphabet is placed in a bag, and one is drawn at random. What is the probability of selecting a vowel or a letter from the word equation?
  1. 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?
  1. A clerk chooses 4 CD players at random for floor displays from a shipment of 24 CD players. If 15 of the players have a blue case and the rest have a red case, what is the probability of choosing 4 players with a blue case or 4 players with a red case?
  1. A department store employs 28 high school students, all juniors and seniors. Six of the 12 seniors are females and 12 of the juniors are males. One student employee is chosen at random. What is the probability of selecting a senior or a female?
  1. A restaurant has 5 pieces of apple pie, 4 pieces of chocolate cream pie, and 3 pieced of blueberry pie. If Jane selects a piece of pie at random, what is the probability that she selects either apple or chocolate cream?
  1. At a statewide meeting, there are 20 school superintendents, 13 principals, and 6 assistant principals. If one of these people is chosen at random, what is the probability that he or she is either a principal or an assistant principal?
  1. An airline has one bank of 13 phones at a reservation office. Of the 13 operators who work there, 8 take reservations for domestic flights and 5 take reservations for international flights. Seven of the operators taking domestic reservations and 3 of the operators taking international reservations are female. If an operator is chosen at random, what is the probability that the person takes domestic reservations or is a male?

Integers from 1-100 are randomly selected. State whether the events are mutually exclusive.

20. Even integers and multiples of 3. 21. Integers less than 40 and integers greater than 50

22. Odd integers and multiples of 4.23. Integers less than 50 and integers greater than 40

Classify each pair of events as dependent or independent.

24. A member of the junior class and a second member of the same class are randomly selected.

25. A member of the junior class and a member of another class are randomly selected.

26. An odd-numbered problem is assigned for homework and an even-numbered problem picked for a test.

27. The sum and the product of two rolls of a die.

A natural number from 1 to 10 is randomly chosen. Find:

28.P(even or 7) 29.P(even or odd)

30.P(multiple of 2 or multiple of 3) 31.P(odd or less than 3)

A fair die is rolled. Find:

32.P(even or 3) 33. P(less than 2 or even)

34.P(prime or 4) 35.P(2 or greater than 6)

Q and R are independent events. Find P(Q and R)

36.P(Q) = 1/8 , P(R) = 2/5 37.P(Q) = 0.8 , P(R) = 0.2 38.P(Q) = ¼ , P(R) = 1/5

M and N are mutually exclusive events. Find P(M or N)

39.P(M) = ¾ , P(N) = 1/6 40.P(M) = 10%, P(N) = 45% 41.P(M) = 1/5, P(N) = 18%