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) remainsFor more on rewriting probabilities with AND and OR, see our free video:

http://www.gmatprepnow.com/module/gmat- ... /video/754 Cheers,

Brent

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