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- May 10th 2010, 08:06 PM #1

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## win win problem

Dear Sir,

I need help some help with the below problem and would appreciate very much if can offer some help.

thanks

Kingman

1) In a match, 2 teams (A and B) will play each other in the best of 3 games. That is, the final team to win 2 games will be the winner. In the first games, both teams have equal chance of winning. In subsequent games, the probability of team A winning team B given that team A won in the previous game is p and the probability of team A winning team B given that team A lost in the previous game is 1/3.

Find the value of p such that the team A has equal chances of winning and losing the competition.

Answer(2/3)

- May 10th 2010, 09:57 PM #2

- May 10th 2010, 10:01 PM #3

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- May 11th 2010, 01:54 AM #4

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## this is exactly my difficulty lies

Dear oregon88,

Thanks very much for your reply. I have great difficulty in drawing my tree diagram.

Here is my difficulty:

A either win or lose and

B either win or lose but the question only mention winning: from here I am stuck !

How to draw the tree giving all the outcomes is my problem.

please help

thanks

- May 11th 2010, 02:03 AM #5

- May 11th 2010, 05:05 AM #6

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- May 11th 2010, 09:10 AM #7