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# The odds against ram solving the problem are 4 to 3 and the

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Director
Joined: 28 Jul 2011
Posts: 563
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
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Kudos [?]: 162 [0], given: 16

The odds against ram solving the problem are 4 to 3 and the [#permalink]

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02 May 2012, 07:52
00:00

Difficulty:

45% (medium)

Question Stats:

29% (01:17) correct 71% (00:59) wrong based on 14 sessions

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The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?

A. 1/4
B. 5/21
C. 16/21
D. 23/28
E. None
[Reveal] Spoiler: OA

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Kudos [?]: 11513 [1] , given: 219

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02 May 2012, 09:09
1
KUDOS
Expert's post
kotela wrote:
The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?

1. 1/4
2. 5/21
3.16/21
4.23/28
5.None

Odds against Ram are 4:3 so probability that he will solve the problem is 3/7.
Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12

It will be solved means that either Ram or Krishna or both will be able to solve it.

P(A or B) = P(A) + P(B) - P(A and B) = 3/7 + 7/12 - (3/7)*(7/12) = 16/21
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Karishma
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Director Joined: 28 Jul 2011 Posts: 563 Location: United States Concentration: International Business, General Management GPA: 3.86 WE: Accounting (Commercial Banking) Followers: 2 Kudos [?]: 162 [0], given: 16 Re: Probability [#permalink] ### Show Tags 02 May 2012, 23:47 VeritasPrepKarishma wrote: kotela wrote: The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try? 1. 1/4 2. 5/21 3.16/21 4.23/28 5.None Odds against Ram are 4:3 so probability that he will solve the problem is 3/7. Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12 It will be solved means that either Ram or Krishna or both will be able to solve it. P(A or B) = P(A) + P(B) - P(A and B) = 3/7 + 7/12 - (3/7)*(7/12) = 16/21 Hi, What is the chance that it will be solved when they both try? I thought that the problem is solved only when they both try together as the questions says the same, but can we take even either Ram or Krishna solves the problem? Thanks in advance _________________ +1 Kudos If found helpful.. Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 6736 Location: Pune, India Followers: 1872 Kudos [?]: 11513 [0], given: 219 Re: Probability [#permalink] ### Show Tags 03 May 2012, 09:07 Expert's post kotela wrote: VeritasPrepKarishma wrote: kotela wrote: The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try? 1. 1/4 2. 5/21 3.16/21 4.23/28 5.None Odds against Ram are 4:3 so probability that he will solve the problem is 3/7. Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12 It will be solved means that either Ram or Krishna or both will be able to solve it. P(A or B) = P(A) + P(B) - P(A and B) = 3/7 + 7/12 - (3/7)*(7/12) = 16/21 Hi, What is the chance that it will be solved when they both try? I thought that the problem is solved only when they both try together as the questions says the same, but can we take even either Ram or Krishna solves the problem? Thanks in advance 'They both try' means that they both try independently. It doesn't mean that they both are working together on the problem. The intent of the problem is quite clear: The probability of A succeeding is 'a'; the probability of B succeeding is 'b'. What is the probability that at least one of them succeeds? _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Director
Joined: 28 Jul 2011
Posts: 563
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 2

Kudos [?]: 162 [0], given: 16

Re: The odds against ram solving the problem are 4 to 3 and the [#permalink]

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04 May 2012, 02:48
Thanks for making it clear
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Re: The odds against ram solving the problem are 4 to 3 and the   [#permalink] 04 May 2012, 02:48
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