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

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Director
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Joined: 28 Jul 2011
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Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
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Kudos [?]: 57 [0], given: 16

The odds against ram solving the problem are 4 to 3 and the [#permalink] New post 02 May 2012, 06:52
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  45% (medium)

Question Stats:

29% (01:17) correct 71% (00:59) wrong based on 14 sessions
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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Expert Post
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Re: Probability [#permalink] New post 02 May 2012, 08:09
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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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Director
Director
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Joined: 28 Jul 2011
Posts: 582
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 1

Kudos [?]: 57 [0], given: 16

Re: Probability [#permalink] New post 02 May 2012, 22:47
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..

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4887
Location: Pune, India
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Kudos [?]: 5432 [0], given: 165

Re: Probability [#permalink] New post 03 May 2012, 08:07
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

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
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Veritas Prep Reviews

Director
Director
avatar
Joined: 28 Jul 2011
Posts: 582
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 1

Kudos [?]: 57 [0], given: 16

Re: The odds against ram solving the problem are 4 to 3 and the [#permalink] New post 04 May 2012, 01:48
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, 01:48
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