GMAT Prep (Probability or permutation?)

Joshua and Jose work at an auto repair center with 4 other workers. For a survey on healthcare insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will be both chosen?

- 1/15
- 1/12
- 1/9
- 1/6
- 1/3

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lalitgmat: Senior | Next Rank: 100 Posts; Posts: 33; Joined: Thu Jul 05, 2007 1:28 pm

by lalitgmat » Wed Aug 01, 2007 5:34 am

Total number of ways two workers out of 6 can be choosen is C(6,2) = 6x5/2 = 15.

Favourable case i.e. instance(s) in which JJ's will be choosen is Only One. As for a pair of JJ, it can happen once in all combinations.

hence reqd probability is 1/15.

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