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9-8 Compound Events

9-8 Compound Events. Compound Events – consist of two or more simple events. Independent Events – the outcome of one event does not affect the outcome of the other event. Probability of Independent Events

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9-8 Compound Events

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  1. 9-8 Compound Events Compound Events – consist of two or more simple events. Independent Events – the outcome of one event does not affect the outcome of the other event. Probability of Independent Events Words The probability of two independent events can be found by multiplying the probability of the first event by the probability of the second event. Symbols

  2. EX 1 The spinner shown is spun and a cube is tossed. Find the probability of Spinning a C and rolling a number less than 5. Sample Space 1 1 1 A C 2 2 2 3 3 3 A B C 4 4 4 B 5 5 5 6 6 6

  3. EX 2 For lunch, Aryn may choose a turkey sandwich, a tuna sandwich, a salad, or a soup. For a drink, she can choose juice, milk, or water. If she chooses a lunch and a drink at random, what is the probability that she will choose a sandwich and juice?

  4. Dependent Events – the outcome of one event affects the outcome of the second event. Probability of Dependent Events Words If two events, A and B, are dependent, then the probability of both events occurring is the product of the probability of A and the probability of B after A occurs. Symbols

  5. EX 3 There are 4 black, 6 white, and 2 blue socks in a drawer. Samantha randomly selects two socks without replacing the first sock. What is the probability that she selects two white socks?

  6. Disjointed Events (mutually exclusive events) – events that can not happen at the same time. Probability of Disjointed Events Words If two events, A and B, are disjointed, then the probability that either A or B occurs is the sum of their probabilities. Symbols

  7. EX 4 A month of the year is randomly selected. What is the probability of the month ending in the letter Y or the letter R?

  8. Your Turn – Pg. 495 Practice A number cube is rolled, and the spinner is spun. Find each probability. A E D B C

  9. Journal: A shelf has books A, B, and C on it. You pick a book at random, place it on a table, and then pick a second book. Explain why the probability that you pick books A and B is not 1/9. Practice: WB Pg. 283 #1 – 20 Chapter 9 Part 2 TEST

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