A carnival game allows players to operate a shovel to lift a prize to a chute where it can fall into a bin from which the player can pick it up. Here are the probabilities of winning the prizes:

P(large prize) = 5%
P(small prize) = 25%
Suppose that the first player who wins a prize wins a small prize. What is the probability that the second player who wins a prize will also win a small prize?
If each player in a group of four uses the shovel to try and lifts one prize to the chute, which person has the greatest probability of winning a large prize?
For which prize is this game biased?

Question

A carnival game allows players to operate a shovel to lift a prize to a chute where it can fall into a bin from which the player can pick it up. Here are the probabilities of winning the prizes:

P(large prize) = 5%
P(small prize) = 25%
Suppose that the first player who wins a prize wins a small prize. What is the probability that the second player who wins a prize will also win a small prize?
If each player in a group of four uses the shovel to try and lifts one prize to the chute, which person has the greatest probability of winning a large prize?
For which prize is this game biased?