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Jim and John are workers in a department that has a total of six emplo
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05 Oct 2021, 10:00
05 Oct 2021, 10:00
Expert Reply
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Question Stats:
58% (00:56) correct
41% (00:43) wrong based on 12 sessions
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Jim and John are workers in a department that has a total of six employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
A. 1/5
B. 1/6
C. 1/30
D. 1/15
E. 11/30
A. 1/5
B. 1/6
C. 1/30
D. 1/15
E. 11/30
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Jim and John are workers in a department that has a total of six emplo
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05 Oct 2021, 10:11
05 Oct 2021, 10:11
1
Carcass wrote:
Jim and John are workers in a department that has a total of six employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
A. 1/5
B. 1/6
C. 1/30
D. 1/15
E. 11/30
A. 1/5
B. 1/6
C. 1/30
D. 1/15
E. 11/30
Using probability rules, we get:
P(Jim and John BOTH chosen) = P(Either Jim or John is chosen first AND the other is chosen second)
= P(Either Jim or John is chosen first) x P(the other is chosen second)
= 2/6 x 1/5
= 1/15
= D
Aside: For the first probability, there are 2 out of 6 ways to select on of the two men (Jim and John).
For the second probability, there are now 5 people remaining and only 1 of the men (Jim or John) remains
Cheers,
Brent
gmatclubot
Re: Jim and John are workers in a department that has a total of six emplo [#permalink]
05 Oct 2021, 10:11
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