Use the "at least once" rule to find the probability of the following event.
Purchasing at least one winning lottery ticket out of 5 tickets when the probability of winning is 0.08 on a single ticket
To find the probability of purchasing at least one winning lottery ticket out of 5 tickets, we can use the "at least once" rule, also known as the complement rule.
The complement rule states that the probability of an event occurring at least once is equal to 1 minus the probability of the event not occurring at all.
In this case, the probability of not winning on a single ticket is 1 - 0.08 = 0.92.
Therefore, the probability of not winning on all 5 tickets is 0.92^5 = 0.6635.
Finally, using the complement rule, the probability of winning at least once can be found as 1 - 0.6635 = 0.3365, or 33.65%.