vishugogo wrote:Jack and Jill work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
a)1/3
b)1/4
c)1/15
d)3/8
e)2/3
P(Jack or Jill on the first pick) = 2/6. (Of the 6 people, either Jack or Jill.)
P(Jack or Jill on the second pick) = 1/5. (Of the 5 remaining people, either Jack or Jill, whoever wasn't the first pick.)
Since we want both events to happen, we multiply:
2/6 * 1/5 = 1/15.
The correct answer is
C.
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