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Jim and John are workers in a department that has a total of six emplo

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Bunuel
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Jim and John are workers in a department that has a total of six emplo [#permalink] New post   09 Oct 2015, 02:46
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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

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BrentGMATPrepNow
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Jim and John are workers in a department that has a total of six emplo [#permalink] New post   Updated on: 05 Oct 2021, 11:11
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Bunuel 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

Kudos for a correct solution.

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

Originally posted by BrentGMATPrepNow on 09 Oct 2015, 09:36.
Last edited by BrentGMATPrepNow on 05 Oct 2021, 11:11, edited 1 time in total.
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Re: Jim and John are workers in a department that has a total of six emplo [#permalink] New post   09 Oct 2015, 03:14
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Probability = 2c2/6c2
= 1/15

or using probablity of individual events x number of arrangements possible = (1/6)x(1/5)x 2 =1/15

Answer D
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Re: Jim and John are workers in a department that has a total of six emplo [#permalink] New post   13 Oct 2015, 23:49
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jim is chosen first and then john is chosen = (1/6)*(1/5) or john is chosen first and then jim is chosen = (1/6)*(1/5)

either case is possible; prob = (1/6)*(1/5) + (1/6)*(1/5) = 1/15
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Re: Jim and John are workers in a department that has a total of six emplo [#permalink] New post   14 Oct 2015, 02:05
P(Jim)=1/6 and P(john)=1/5
P(both)=P(Jim)*P(john)*arrangements=1/6*1/5* 2(ways)

Ans=D (1/15)
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Re: Jim and John are workers in a department that has a total of six emplo [#permalink] New post   11 Nov 2016, 11:53
Bunuel 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

Kudos for a correct solution.


2C2/6C2 = 1/15

Answer will be (D) 1/15
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Re: Jim and John are workers in a department that has a total of six emplo [#permalink] New post   28 Sep 2017, 03:52
Probability = 2c2/6c2
= 1/15
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Re: Jim and John are workers in a department that has a total of six emplo [#permalink] New post   03 Oct 2017, 09:39
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Bunuel 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


The probability that both Jim and John are chosen is 2/6 x 1/5 = 2/30 = 1/15.

Alternate Solution:

The total number of groups of two employees out of six is 6C2 = 6!/[2!(6-2)!] = 6 x 5/2 x 1 = 15. Picking both Jim and John is one of those 15 choices, so the probability of choosing both of them is 1/15.

Answer: D
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Re: Jim and John are workers in a department that has a total of six emplo [#permalink] New post   29 Nov 2022, 02:09
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Re: Jim and John are workers in a department that has a total of six emplo [#permalink]
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