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The probability of a team winning a match given Matt is playing the

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alphonsa
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The probability of a team winning a match given Matt is playing the [#permalink] New post   14 Sep 2014, 08:11
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62% (02:42) correct 38% (02:34) wrong based on 62 sessions
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The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.

If it is known that the team has won the last match, what is the probability that Matt played the match?

A) 0.8321
B) 0.7
C) 0.8571
D) 0.7531
E) 0.8213

Source: 4Gmat

Please explain. I am stuck
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C
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Bunuel
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Re: The probability of a team winning a match given Matt is playing the [#permalink] New post   14 Sep 2014, 16:54
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alphonsa wrote:
The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.

If it is known that the team has won the last match, what is the probability that Matt played the match?

A) 0.8321
B) 0.7
C) 0.8571
D) 0.7531
E) 0.8213

Source: 4Gmat

Please explain. I am stuck


This is NOT a GMAT question.

Out of 100 matches:
Matt is plays in 80 and not plays in 20.

Out of 80 matches Matt plays in, team wins 0.75*80 = 60.
Out of 20 matches Matt does not play in, team wins 0.5*20 = 10.

So, out of 100 matches 60 + 10 = 70 are won.

It is known that the team has won the last match. Out of 70 matches won, Matt is in 60: 60/70 = 0.8571...

Answer: C.

TOPIC IS LOCKED.
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chetan2u
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Re: The probability of a team winning a match given Matt is playing the [#permalink] New post   06 Apr 2016, 02:01
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Bunuel wrote:
alphonsa wrote:
The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.

If it is known that the team has won the last match, what is the probability that Matt played the match?

A) 0.8321
B) 0.7
C) 0.8571
D) 0.7531
E) 0.8213

Source: 4Gmat

Please explain. I am stuck


This is NOT a GMAT question.

Out of 100 matches:
Matt is plays in 80 and not plays in 20.

Out of 80 matches Matt plays in, team wins 0.75*80 = 60.
Out of 20 matches Matt does not play in, team wins 0.5*20 = 10.

So, out of 100 matches 60 + 10 = 70 are won.

It is known that the team has won the last match. Out of 70 matches won, Matt is in 60: 60/70 = 0.8571...

Answer: C.

TOPIC IS LOCKED.


Hi Bunuel,
it seems over the years it has got unlocked by someone..
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Bunuel
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Re: The probability of a team winning a match given Matt is playing the [#permalink] New post   06 Apr 2016, 02:05
Expert Reply
chetan2u wrote:
Bunuel wrote:
alphonsa wrote:
The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.

If it is known that the team has won the last match, what is the probability that Matt played the match?

A) 0.8321
B) 0.7
C) 0.8571
D) 0.7531
E) 0.8213

Source: 4Gmat

Please explain. I am stuck


This is NOT a GMAT question.

Out of 100 matches:
Matt is plays in 80 and not plays in 20.

Out of 80 matches Matt plays in, team wins 0.75*80 = 60.
Out of 20 matches Matt does not play in, team wins 0.5*20 = 10.

So, out of 100 matches 60 + 10 = 70 are won.

It is known that the team has won the last match. Out of 70 matches won, Matt is in 60: 60/70 = 0.8571...

Answer: C.

TOPIC IS LOCKED.


Hi Bunuel,
it seems over the years it has got unlocked by someone..


Locking again. Thank you.
GMAT Club Bot
gmatclubot
Re: The probability of a team winning a match given Matt is playing the [#permalink]
06 Apr 2016, 02:05
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