A Every day Jorge buys a lottery ticket Each ticket has prob

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

Solution

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)