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PS: m 15 #31

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Manager
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Joined: 05 Jan 2009
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Kudos [?]: 14 [0], given: 2

PS: m 15 #31 [#permalink] New post 20 Jun 2009, 11:05
If John throws a coin until a series of three consecutive heads or three consecutive tails appears, what is the probability that the game will end after the fourth throw?

(C) 2008 GMAT Club - m15#31

1/16
1/8
3/16
1/4
3/8
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Manager
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Joined: 30 May 2009
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Kudos [?]: 56 [0], given: 0

Re: PS: m 15 #31 [#permalink] New post 23 Jun 2009, 19:09
How much ever I think about this problem, I am not getting (C). I am getting the answer as 2/16=1/8.

Probability of getting 3 consecutive heads and game ending in 4th turn is THHH = 1/16
Probability of getting 3 consecutive tails and game ending in 4th turn is HTTT = 1/16

1/16 + 1/16 = 1/8

What am I doing wrong???? This probability is a torture :(
CIO
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Re: PS: m 15 #31 [#permalink] New post 23 Jun 2009, 21:48
Hi,
Your solution is absolutely right! I guess you were confused by the copyright symbol (C) in the post above. It is not an OE.

sdrandom1 wrote:
How much ever I think about this problem, I am not getting (C). I am getting the answer as 2/16=1/8.

Probability of getting 3 consecutive heads and game ending in 4th turn is THHH = 1/16
Probability of getting 3 consecutive tails and game ending in 4th turn is HTTT = 1/16

1/16 + 1/16 = 1/8

What am I doing wrong???? This probability is a torture :(

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CIO
CIO
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Joined: 02 Oct 2007
Posts: 1218
Followers: 87

Kudos [?]: 690 [0], given: 334

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Re: PS: m 15 #31 [#permalink] New post 23 Jun 2009, 21:59
Hi pmal04,
Please do post your questions in the corresponding thread that is already discussing the question you're interested in. You can find this link m15-71875.html in here: gmat-club-tests-master-threads-all-tests-78599.html

Make sure you read the post in the last link carefully before posting another question in this forum.

Thank you for cooperation :)
pmal04 wrote:
If John throws a coin until a series of three consecutive heads or three consecutive tails appears, what is the probability that the game will end after the fourth throw?

(C) 2008 GMAT Club - m15#31

1/16
1/8
3/16
1/4
3/8

_________________

Welcome to GMAT Club! :)
Facebook TwitterGoogle+LinkedIn
Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: PS: m 15 #31   [#permalink] 23 Jun 2009, 21:59
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Topics:
Experts publish their posts in the topic M15-31 Bunuel 1 15 Sep 2014, 23:56
PS: m 15 #18 pmal04 1 20 Jun 2009, 12:01
PS: m 15 #10 pmal04 2 20 Jun 2009, 11:34
PS: m 15 #6 pmal04 1 20 Jun 2009, 11:21
5 PS - Factor (m04q31) rao 16 17 Sep 2008, 13:34
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PS: m 15 #31

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