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Probability of team's winning

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Probability of team's winning [#permalink] New post 01 Nov 2009, 04:16
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75% (01:49) correct 25% (02:04) wrong based on 3 sessions
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Re: Probability of team's winning [#permalink] New post 01 Nov 2009, 04:25
must be 1/8 since there are three games left and each game's win probability is 1/2 for three games its 1/8 (A)
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Re: Probability of team's winning [#permalink] New post 01 Nov 2009, 04:44
kirankp wrote:
must be 1/8 since there are three games left and each game's win probability is 1/2 for three games its 1/8 (A)


hmm.. the answer is correct, but the derivation is not :)
hint: think of the possible scenarios with the 3 games
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Re: Probability of team's winning [#permalink] New post 01 Nov 2009, 05:02
the only way the team can end with a winning record is if they win all 3 games.

winning 2 games or less can in no way make wins>losses (which is necessary for condition of winning record).

therefore the probability of ending with a winning record = probability of winning all 3 games = (1/2)*(1/2)*(1/2) = 1/8

Ans: A (1/8)
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Re: Probability of team's winning [#permalink] New post 03 Nov 2009, 00:19
anyone else wants to give it a try before the OA?
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Re: Probability of team's winning [#permalink] New post 03 Nov 2009, 07:37
IMO 1/8

As the team will win the series only by winnning three games(even if it wins 2 or 1 game it will lose)

What is the OA
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Re: Probability of team's winning [#permalink] New post 07 Nov 2009, 08:53
Oops forgot to post the OA for this one: A

All of you got it right, and there are so many ways to reach a probability solution.. here is the official approach given:
Total possible outcomes: WWW, WWL, WLW, LWW, LWL, LLW, WLL, LLL. Total 8.
Favorable outcomes: WWW. Total 1.

Probablity=1/8
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Re: Probability of team's winning [#permalink] New post 07 Nov 2009, 10:05
just want to comment on gmattokyo solution: you forget to add the fact that we need 3 wins to get the wining seasons. lets say if they have 12 L and 12 W and 3 to go, all they need is 2 W and the prob is 1/4.
Re: Probability of team's winning   [#permalink] 07 Nov 2009, 10:05
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