Prob

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ssraf: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Sun Jun 08, 2008 5:12 pm

by ssraf » Fri Jun 13, 2008 10:33 pm

Jo and Jose work at an auto repair centre with 4 other workers. For a survey on healthcare insurance 2 to workers will randomly be interviewed. What is the probability both Jo and Jose will be chosen?

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Source: Beat The GMAT — Problem Solving | Fri Jun 13, 2008 10:33 pm

babachal: Junior | Next Rank: 30 Posts; Posts: 28; Joined: Mon Jun 02, 2008 5:30 pm; Thanked: 3 times

by babachal » Fri Jun 13, 2008 11:33 pm

whole people 6
Jo's randomly chosen probability is 1/6
Jose's randomly probability is 1/6

their both probabilty is (1/6)*(1/6)=1/36

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

by Ian Stewart » Sat Jun 14, 2008 2:01 am

The probability the first person chosen is either Jo or Jose is 2/6. Then, the probability the other one is chosen next is 1/5 (there are 5 people left, and only one of them gives you the result you want). So (2/6)*(1/5) = 1/15.

Or you can look at it this way: there are 6C2 different pairs of people that could be chosen. One of these pairs is Jo and Jose. So the probability must be 1/6C2, from the definition of probability. 1/6C2 = 1/15.

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