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 0.04 on a single ticket
To find the probability of purchasing at least one winning lottery ticket out of 5 tickets, we can use the complement rule.
The complement of the event "purchasing at least one winning lottery ticket" is "not purchasing any winning lottery ticket."
The probability of not purchasing a winning lottery ticket on a single ticket is 1 - 0.04 = 0.96.
Since the event of not purchasing any winning ticket is independent for each of the 5 tickets, the probability of not purchasing any winning ticket out of 5 tickets is 0.96^5 = 0.8153726976.
Therefore, the probability of purchasing at least one winning ticket is 1 - 0.8153726976 = 0.1846273024, or approximately 18.46%.