what is the probability that George will be elected?
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In an upcoming congressional election, two democrats, Al and Bill, seek the nomination to run against the incumbent republican, George. It is estimated that George has a
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- Player A and Player B play chess (either of them wins, a draw is not permitted). If player A plays White, the probability of him/her winning is 0.72. If player A plays Black, the probability of him/her winning is 0.63. Player A and Player B play 2 games and in the second game, they change sides. Find the probability that player B wins both games.The sales agent Parson works in three cities A, B and C. To avoid unnecessary travel, he stays all day in the same city and spends the night there, moving to another city the next day if he does not have enough work. After working one day in C, the probability of having to continue working there the next day is 0.4, the probability of having to travel to B is 0.4 and the probability of having to travel to A is 0.2. If the traveler sleeps one day in B, with a probability of 20% he will have to continue working in the same city the next day, in 60% of the cases he will travel to C, while he will go to A with a probability of 0.2. Finally, if the sales representative works all day in A, he will remain in the same city the next day with a probability of 0.1, he will go to B with a probability of 0.3 and to C with a probability of 0.6. A) If today the commuter is in C, what is the probability that he will also have to work in C on the fifth day B) What are the percentages of days that the…Two chefs (Mike and Larry) cook at a diner. Mike cooks twice as many dishes as Larry. ZAGAT has noted that Larry cooks “good” 3 out of four dishes, while Mike cooks “good” four out of ten dishes. You want take your out-of-town visitor for a dinner there. What is the probability that your visitor will have good dining experience?
- Mike has 7 white shirts and 4 blue shirts. He picks 3 of the shirts randomly to stuff in his suitcase for a trip. What is the probability that all 3 shirts selected will be white? What is the probability that all 3 shirts selected will be blue? What is the probability that he will select 2 white shirts and 1 blue shirt?Jimmy has a a three sectioned box filled with 45 marbles total. What is the probability of the configuration for the left section to be filled with 10 marbles, the middle section filled with 35 marbles, and the right section with no marbles?Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at least twice a week. What is the probability that a student chosen at random from the class uses the library at least twice a week? What is the probability that a student chosen at random from the class uses the library less often than twice a week? If two students are chosen at random from the class, what is the probability that both of them use the library at least twice a week? If two students are chosen at random from the class, what is the probability that both of them do NOT use the library at least twice a week?
