1. ## 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.

2. Originally Posted by kingman
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.

Have you tried this on your own? You can draw a decision tree, maybe known to you as a probability tree. You will need to write an equation and solve for p.

3. The probability tree would give you all you need and you just start from the beginning and work your way down.

4. ## 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.
thanks

5. Originally Posted by kingman
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.
thanks
P(win) = 1 - P(lose)
P(lose) = 1 - P(win)

This is because the probabilities for all possible outcomes must always add up to 1. (As in, 100%)

Does that help?

6. thanks,
I know this fact but still need to know how the tree diagram look which depicts the win and lose of both A and B.
This does not look like a typical tree diagram.