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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- A gumball machine contains 4 red gum balls, 2 blue gum balls, and 5 yellow gum balls. You put a coin in the machine, and two gum balls come out, one after the other. What’s the probability that the first gum ball that comes out is red and the second gumball is yellow?In women’s tennis, a player must win 2 out of 3 sets to win a match. If a player wins the first 2 sets, she wins the match and the third set is not played. Player V and Player M will compete in a match. Player V and Player M have competed against each other many times. Historical data show that each player is equally likely to win the first set. If Player V wins the first set, the probability that she will win the second set is 0.60. If Player V loses the first set, the probability that she will lose the second set is 0.70. If Player V wins exactly one of the first two sets, the probability that she will win the third set is 0.45. What is the probability that Player V will win a match against Player M?According to the survey of American households, the probability that the household owns Smart 3D HDTV if the house has two earning members is 51%. Of the households surveyed, 47% did not have two earning members and 48%had Smart 3D HDTVs. The probability that a household does not have two earning members and does not own a Smart 3D HDTV is
- Roxanne’s change purse contains a total of 9 coins: 2 quarters, 3 dimes, 1 nickel, and 3 pennies. Without looking, Roxanne will pull 2 coins out of her purse. What is the probability that both coins will be pennies?We randomly put blue and red marbles into two boxes.It ends up that the first box has 6 blue marbles and 8 red marbles.The second box has 6 blue marbles and 2 red marbles.We randomly pick one box, and randomly pick a marble from it.If the marble we picked was red, what is the probability that we drew from the first box?Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Michael and his merciless band of thieves. 1 The Captain has probability of hitting the 2 pirate ship. The pirate only has one good eye, 1 so he hits the Captain's ship with probability 6. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
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