A) Every day, Jorge buys a lottery ticket. Each ticket has probability 0.22 of w

Question

A) Every day, Jorge buys a lottery ticket. Each ticket has probability 0.22 of winning a prize. After 4 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).

B) The probability that a certain make of car will need repairs in the first six months is 0.31 . A dealer sells 5 such cars. What is the probability that at least one of them will require repairs in the first six months?
Round your answer to four decimal places

Explanation / Answer

1. Probability of a ticket winnig a prize = 0.22
Probability of the ticket not winnig a prize = 1-0.22 = 0.78

So P ( at least one prize ) = 1- P (no prize )

                                      1- 4C0 (0.78 )4= 0.6298 (ans)

2. Probability of the car needing repair = 0.31
Probability of the car not needing repair = 0.69
Probability of at least 1 car needing repair = 1 - P( no car neeeded for rerpair)

                                                            = 1- 5C0 (0.69)5 = 0.8436 (ans)

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