Final answer:
The probability that Lottie does not win the prize in the raffle is 0.9972 or 99.72%.
Step-by-step explanation:
To find the probability that Lottie does not win the prize, we need to first determine the total number of possible outcomes (total number of raffle tickets sold) and the number of favorable outcomes (number of raffle tickets bought by Lottie that didn't win the prize).
Since a total of 360 raffle tickets are sold and Lottie buys 15 raffle tickets, the probability that Lottie does not win the prize can be calculated as:
(Total number of non-winning tickets bought by Lottie) / (Total number of tickets sold)
= (360 - 1) / 360
= 359 / 360
So, the probability that Lottie does not win the prize is approximately 0.9972 (or 99.72%).