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GMAT Prep (Probability or permutation?)

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Newbie | Next Rank: 10 Posts
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by aosh » Wed Aug 01, 2007 5:06 am
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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Source: — Problem Solving |
Senior | Next Rank: 100 Posts
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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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