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Joshua and Jose work at an auto repair center with 4 other w

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Carcass
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Joshua and Jose work at an auto repair center with 4 other w [#permalink] New post   02 Sep 2020, 09:45
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Joshua and Jose work at an auto repair center with 4 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?

A. 1/15
B. 1/12
C. 1/9
D. 1/6
E. 1/3
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A
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Re: Joshua and Jose work at an auto repair center with 4 other w [#permalink] New post   02 Sep 2020, 09:45
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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Re: Joshua and Jose work at an auto repair center with 4 other w [#permalink] New post   02 Sep 2020, 10:17
Carcass wrote:
Joshua and Jose work at an auto repair center with 4 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?

A. 1/15
B. 1/12
C. 1/9
D. 1/6
E. 1/3

P(Joshua and Jose both chosen) = P(one of the two men is chosen first AND the other man is chosen second)
= P(one of the two men is chosen first) x P(the other man is chosen second)
= 2/6 x 1/5
= 1/15

Answer: A

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Re: Joshua and Jose work at an auto repair center with 4 other w [#permalink] New post   20 Feb 2022, 07:32
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Since there are 6 workers and 2 of them will be randomly selected. We can use either the counting formula or the probability formula.

Counting:
Number of workers = 6
Number of selected workers = 2 (1 pair)

Therefore, there are nCr = 6C2 = 15 possible ways to select 2 workers (pair) out of 6 workers.

As our requirement is to get only Joshua and Jose will both be chosen. Which is 1 pair. So the outcome will be 1/15. Option. A
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Re: Joshua and Jose work at an auto repair center with 4 other w [#permalink] New post   19 May 2023, 06:07
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Joshua and Jose work at an auto repair center with 4 other w [#permalink]
19 May 2023, 06:07
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