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James, Kara and Smith are three friends who have applied for a job at

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James, Kara and Smith are three friends who have applied for a job at [#permalink]

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New post 25 Nov 2017, 08:34
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A
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D
E

Difficulty:

  45% (medium)

Question Stats:

61% (02:58) correct 39% (01:06) wrong based on 38 sessions

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James, Kara and Smith are three friends who have applied for a job at Company X. Their probabilities of getting selected for interview are 2/5, 1/3 and 4/7 respectively. If Company X offers a job to only 25% of the applicants it interviews, what is the probability that only Kara receives a job offer out of the three friends?

A. 1/12
B. 9/140
C. 1/42
D. 27/2240
E. 2/175

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[Reveal] Spoiler: OA

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Re: James, Kara and Smith are three friends who have applied for a job at [#permalink]

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New post 25 Nov 2017, 21:44
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We need to find the probability of Kerra getting job but other friends not getting job.
Probability of Kerrs getting job = P( selection in interview) *P( clearing the interview )= (1/3)(1/4)= 1/12
Probability of James not getting job = P( selection in interview) *P( not clearing the interview) + P( not selection in interview) = (2/5)(3/4)+(3/5) = (9/10)
Probability of Smith not getting job = P( selection in interview) *P( not clearing the interview) + P( not selection in interview) = (4/7)(3/4)+(3/7) = (6/7)

Required probability = (1/12)*(9/10)*(6/7) , as the three events are independent. = 9/140
Answer is B.


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Re: James, Kara and Smith are three friends who have applied for a job at   [#permalink] 25 Nov 2017, 21:44
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James, Kara and Smith are three friends who have applied for a job at

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