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Two teams A and B play a tournament. The...

Two teams A and B play a tournament. The first one to win (n+1) games win the series. The probability that A wins a game is p and that B wins a game is q (no ties). Find the probability that A wins the series. Hence or otherwise prove that `sum(r=0)(n)""^(n+1)C_(r)*(1)/(2^(n+r))=1`.

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The correct Answer is:
`(((N-r)(N-r-1))/((N-1)(N-2)))`
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