I don't understand where they got 0.8 from. Please help.

Guided Solution Lottery: Every day, Jorge buys a lottery ticket. Each ticket has a probability of 0.2 of winning a prize. After four days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places. Steplof4 To compute the probability that an event occurs at least once, we nd the probability of the complement. That is, we nd the probability that it does not occur at all, and subtract from 1. Therefore, to nd the probability that Jorge has won at least one prize (i.e., won on at least one day), we nd the probability that Jorge wins on none of the days and subtract from 1. Stepzof4 It is reasonable to assume that the days on which Jorge wins are independent so we may use the Multiplication Rule for Independent Events. The Multiplication Rule for Independent Events HA and B are independent events, then P(A and B) =P(A)P(B) This rule can be extended to the case where there are more than two independent events. It is reasonable to assume that the days on which Jorge wins are independent so we may use the Multiplication Rule for Independent Events. The Multiplication Rule for Independent Events HA and B are independent events, then P(A and B) =P(A)P (B) This rule can be extended to the case where there are more than two independent events. IfA, B, C, are independent events, then P(A and Band Cand...) =P(A)P(B)P(C)... P (Jorge wins on none of the four days) = P Jorge does not win on the 1" day) Jorge does not win on the 2"day)... P Jorge does not win on the 4 day) = (0.8) (0.8) (0.8) (0.8) = 0.84 = 0.4096P (Jorge wins on at least one of the days) = 1-0.4096 = 0.5904