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Unformatted text preview: Math 120 SP08 Brodnick Section 7.5 & 7.6 Practice Conditional Probability & Bayes Theorem 1. For two events A and B , 4 . ) ( = A P , 9 . ) | ( = A B P , and 3 . ) | ( = A B P . Use Bayes Theorem to find ) | ( B A P . 2. E and F are independent events with 25 . ) ( = E P , 36 . ) ( = F P . Compute ) ( F E P and ) ( F E P . 3. Three jars contain colored balls as follows: Jar Red, R White, W Blue, B I 5 6 5 II 3 4 9 III 7 5 4 One jar is chosen at random and a ball is withdrawn. a. What is the probability that the ball is white? b. If the ball is red, what is the probability that it came from Jar II? 4. One family is randomly selected from the entire group of three-child families (families with 3 children). What is the probability that the selected family has exactly one girl, given that the first child is a boy? 5. A manufacturer buys items from three different suppliers. The fraction of the total number of items obtained from each supplier, along with the probability that an item purchased from that supplier is...
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