Every day, Jorge buys a lottery ticket, Each ticket has probability 0.23 of winn

Question

Every day, Jorge buys a lottery ticket, Each ticket has probability 0.23 of winning a prize. After 6 days, what is the probability that Jorge has won at least one prize? Write only a number as your answer. Round your answer to four decimal places (for example: 0.7319). Do not write as a percentage. Your Answer: The probability that a certain make of car will need repairs in the first six months is 0.31. A dealer sells 6 such cars. What is the probability that at least one of them will require repairs in the first six months? Write only a number as your answer. Round your answer to four decimal places (for example: 0.7319). Do not write as a percentage. Your Answer:

Explanation / Answer

10) P[win at least 1 prize] = 1 - P[lose all 6 days]

Probability of losing = 1 - 0.23 = 0.77

P[win at least 1 prize] = 1 - 0.77^4 = 0.6485

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