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What is the probability that at least one

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  1. Luis has a coin that is weighted so that the probability that Heads appears when it is tossed is 0.51. Suppose that the coin is tossed 4 times. What is the probability that all 4 tosses are Heads?
  2. Everyday, Jorge buys a lottery ticket. Each ticket has probability 0.21 of winning a prize. After 4 days, what is the probability that Jorge has won at least one prize?
  3. The probability that a certain make of car will need repairs in the first six months is 0.25. A dealer sells 6 such cars. What is the probability that at least one of them will require repairs in the first six months?

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