Question

An organization is planning a raffle to sell 40 tickets. Each customer can only buy one ticket. There are three prizes to be awarded. If each of the five organizers of the raffle buy one ticket, find out the following probabilities: a. The five organizers win all the prizes.

Answer 1

The probability of the five organizers winning all the prizes in the raffle is 0.0075%.

Step-by-step explanation:

To find the probability of the five organizers winning all the prizes, we can use the concept of independent events and the multiplication rule. The probability of each organizer winning a prize is 3 out of the total number of tickets, which is 40. So, the probability of one organizer winning a prize is 3/40.

Since there are 5 organizers, the probability of all five organizers winning a prize is (3/40) * (3/40) * (3/40) * (3/40) * (3/40). This can be simplified to (3/40)⁵ = 0.000075.

Therefore, the probability of the five organizers winning all the prizes is 0.000075 or 0.0075%.