statistic question

Question

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

0.3 of winning a prize. After six days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places.

The probability that Jorge has won at least one prize is

Answer 1

P(winning ticket) = 0.30

You also want the probability of not having a winning ticket in order to solve this probability.

P(not winning ticket) = 1 - 0.30 = 0.70

The probability of not having a winning ticket for 6 days is as follows: (0.70)^6 = 0.117649

P(at least one winning ticket) = 1 - P(no winning ticket for 6 days) = 1 - 0.117649 = 0.882351 ≈ 0.8824

The probability that Jorge has won at least one prize is about 0.8824.