Answer to Question #163375 in Statistics and Probability for Nomhle Lukashe

Question

 100 people bought tickets in a charity raffle. 60 of them bought the tickets because they supported the charity. 75 bought tickets because they liked the prize. No one who neither supported the charity nor liked the prize bought a ticket. (a) What is the probability that the prize-winning ticket was bought by someone who liked the prize?

Answer 1

We assume that each person bought 1 ticket so that there were 100 tickets of total.

Since the probabilities of the winning are equal for every ticket, they are equal to 1/100.

Therefore the probability that the prize-winning ticket was bought by someone who liked the prize is equal to the product of number of tickets which were bought by the people who liked the prize (75)

by the probability of the winning per ticket (1/100=1%). It is equal to 75x1%=75%.