Edgar and Andrew are playing a card game with a deck of equally likely cards. The rule of the game is: Edgar draws 5 cards randomly from a deck. If his hand contains a pair, he wins. If not, then its Andrews turn to do the same.
a) What is the probability Edgar will win over Andrew in the first place?
b) What is the probability Andrew will win over Edgar in his first trial?
c) Suppose Edgar drew this hand (Jack heart, Jack club, 4 club, 4 spades, 9 heart). What is the probability that Andrew will end the game on his turn?