Here is information on the results of the 90 members of an athletics team at a competition.

If an athlete is chosen at random, the probability that he or she won!

- a gold medal is 1/6

- a silver medal is 0.3

- a bronze medal is 0.4

• Four athletes won gold and silver medals.
• Six athletes won bronze and silver medals.
• Seven athletes won gold and bronze medals.
• Two athletes won all three types of medals.

If an athlete from this team is randonly selected, what is the probability that he or she:

a) won a silver or bronze medal Knowing that he or she also won a gold medal?
b) won a gold and bronze medal knowing that he or she also won a silver medal?

c) has won atleast one other type of medal, Knowing that he or she has also won a bronze medal?