One hundred tickets are sold in a raffle which offed
two prizes. Hazel buys five of the tickets.
A ticket is drawn at random for the first prize. A second
ticket is drawn from the remaining tickets for the other
price.
What is the probability that Hazel wins both prizes?

To find the probability that Hazel wins both prizes, we need to calculate the chance of her ticket being drawn first and then winning again with her remaining ticket. For the first prize, the probability of Hazel winning is the number of her tickets (5) divided by the total tickets (100), which is .

If Hazel wins the first prize, there are now 99 tickets left, of which 4 are hers. Therefore, the probability of her winning the second prize becomes . Now we multiply the two probabilities to find the overall probability that Hazel wins both prizes:

So, the probability that Hazel wins both prizes is approximately 0.2%.