Probability of 11 points first in a game? ** Simple **

#1
Hi all,

I am a newbie here and has some simple probability, just would like to gauge how far i am...

A match can be won with two ways:

(1) score 11 points first
(2) if level after **10** points (i.e. "level at 10-10"), must win by 2 clear points.

Player A & B play badminton with the probability of A winning any given game = p. whats the probability of player A (as a function of p) winning a match under each circumstances?

2 circumstances are independent,
(1) 1st scenarios - player wins as long you reach 11 points first
(2) 2nd scenarios is also the same as winning 11 points first, but if draw at 10-10, then need to win by at least 2 points...
 
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