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Unformatted text preview: 4.4 Suppose that a couple will have three children. Letting B denote a boy and G denote a girl: a Draw a tree diagram depicting the sample space outcomes for this experiment. See Tree Diagram tab in excel attachment b List the sample space outcomes that correspond to each of the following events: There are a total of 8 outcomes. ( 1) All three children will have the same gender. (BBB,GGG) ( 2) Exactly two of the three children will be girls. (BGG,GBG,GGB) ( 3) Exactly one of the three children will be a girl. (GBB,BGB,BBG) ( 4) None of the three children will be a girl. (BBB) c Assuming that all sample space outcomes are equally likely, find the probability of each of the events given in part b. (1) 2/8 = 0.25 (2) 3/8 = 0.375 (3) 3/8 = 0.375 (4) 1/8 = 0.125 4.20 John and Jane are married. The probability that John watches a certain television show is .4. The probability that Jane watches the show is .5. The probability that John watches the show, given that Jane does, is .7....
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- Summer '11