Suppose that A tosses a coin which lands heads with probability PA, and B tosses one which lands heads with probability PB. They toss their coins simultaneously over and over again, in a competition to see who gets the first head. The one to get the first head is the winner, except that a draw results if they get their first heads together. Calculate:
a) P(A wins): b) P(B wins): c) draw):
b) The distribution of the number of times A and B must toss.