For a recent evening at a small, old-fashioned movie theater,40%

of the moviegoers were female and60% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film:75%

of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular:55%

of the males attended the romantic comedy. No moviegoer attended both movies. LetF denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. LetR denote the event that a randomly chosen moviegoer attended the romantic comedy andR denote the event that a randomly chosen moviegoer attended the war film.Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses.

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For a recent evening at a small , old-fashioned movie theater , 40% of the 6 of the moviegoers were female and 60 % were male . There were two movies playing that evening . One was a romantic comedy , and the other was a World War II film As might be expected , among the females the romantic comedy was in was more popular than the war film : 75 % of the females attended the romantic comedy . Among the male moviegoers the romantic comedy also was more popular 55% of the males attended attended the romantic comedy . No moviegoer attended both movies Let F denote the event that a randomly chosen moviegoer ( at the small theater that evening was female and I denote the event that a randomly chosen moviegoer was male . Let R denote the that a randomly chosen moviegoer attended the romantic comedy and I denote the event that a randomly chosen movie goer attended the war film Fill in the probabilities to complete the tree diagram below , and then answer the question that follows . Do not round any found any of your responses P ( R / F ) P ( F ) P ( FOR ) D P ( FOR ) P ( R E ) P ( R F ) P ( FOR ) P ( F ) P ( FOR ) P ( RF ) What is the probability that a randomly chosen moviegoer attended the war film