The probability of the 30th person being selected is 1 in 121.
The probability of an individual being selected as one of the 30 people is calculated by dividing the number of ways they can be selected by the total number of possibilities.
In this case, there are 14 prizes available and each person can only choose one prize.
So, the first person has a 1 in 14 chance of getting a prize, the second person has a 1 in 13 chance, and so on.
To find the probability of the 30th person being selected, we calculate 1/14 * 1/13 * ... * 1/1 which is approximately 1 in 121.
Therefore, the chance of the 30th person being selected is 1 in 121.
The probable question may be:
At a town fair, everyone who wins one of the contests selects a prize. There are 14 prizes available, including 7 pies. What is the probability of the 30th person being selected?