1. Discrete Math Section 16.5 Solve problems involving conditional probability In a given population, 60% of the females live to age 75 or older(75+), while 42% of the males live to age 75 or older. If the population is 52% female and 48% male, what is the probability that a person who lives to age 75 or older is female? The question: P( F| 75+) = ? P(F| 75+) = P(75+ and F) P(75+) PP(75+) = P(F &75+) + P(M & 75+) PP(75+) = (.52)(.60) + (.48)(.42) =.51 PP(75+ and F) = (.52)(.60) =.312 PP(F| 75+) =.312/.51 =.61

2. Example During a flu epidemic, 35% of a schools students have the flu. Of those with the flu, 90% have a high temperature. However, a high temperature is possible for people without the flu. In fact, 12% of those without the flu have a high temperature. a.Make a tree diagram. b. What percent of the students have a high temperature? c.If a student has a high temperature, what is the probability that the student has the flu?

3. Example Jar A contains 1 red, 2 white, and 3 green marbles. Jar B contains 4 red and 5 white marbles. A die is rolled. If a “1” or “6” comes up, a marble is randomly picked from Jar A. Otherwise a marble is picked from Jar B. a.Draw a diagram b.If a white marble is picked, what is the probability that it came from Jar A?

4. assignment Page 626 Problems 2,5,6,8,9,11