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Section 6.4 F ind Probabilities of Compound Events

Section 6.4 F ind Probabilities of Compound Events. Compound Event : A compound event combines two or more events, using the word "AND" or the word "OR". Mutually Exclusive Events : Events with no common outcomes Overlapping Events : Events with at least one common outcome

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Section 6.4 F ind Probabilities of Compound Events

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  1. Section 6.4 Find Probabilities of Compound Events

  2. Compound Event: A compound event combines two or more events, using the word "AND" or the word "OR". Mutually Exclusive Events: Events with no common outcomes Overlapping Events: Events with at least one common outcome Independent Events: The occurrence of one event has no effect on the occurrence of the other

  3. Dependent events: The occurrence of one event affects the occurrence of the other Conditional probability: If A and B are dependent events, then the probability that event B will occur given that event A has occurred is called the conditional probability of B given A.

  4. Example 1 Find the probability of A OR B You randomly choose a card from a standard deck of 52 playing cards. • Find the probability that you choose a 9 or a King. • Are these events overlapping or mutually exclusive? P(9 or King) = P(9) + P(King)

  5. b. Find the probability that you choose an Ace or a spade. Are these events overlapping or mutually exclusive? P(Ace or spade) = P(Ace) + P(spade) - P(Ace and spade)

  6. Example 2 Find the probability of A AND B You roll two number cubes (dice). What is the probability that you roll a 1 first and a 2 second? Are these events dependent or independent? P(1 and 2) = P(1) x P(2)

  7. Example 3 Find the probability of A and B A box contains 8 red markers and 3 blue markers. You choose one marker at random, do not replace it, then choose a second marker at random. What is the probability that both markers are blue? Are these events dependent or independent?

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