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Problem Solving (PS) | Re: Only one of ten pens in a box is defective. Three pens are randomly dr

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gmatbusters wrote:

Only one of ten pens in a box is defective. Three pens are randomly drawn from the box, one at a time. What is the probability that the next pen randomly drawn is defective?

(A) 1/10
(B) 1/7
(C) 7/10
(D) 6/7
(E) 9/10

Source: Inspired from a Bunuel sir's question.


First three pens must be non-defective.
Probability to choose them:
9/10 * 8/9 * 7/8 ( we are not replacing the pens)

Fourth pen is defective:
1/7 is probability to choose it.

Total probability = 9/10*8/9*7/8*1/7 = 1/10

Hence Option
...

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