Permutation and Combination - Quant/Math - CAT 2007
Question 4 the day:
November 18, 2003
The question for the day is from the topic Permutation and Combination.
Question:
- Badri has 9 pairs of dark Blue socks and 9 pairs of Black socks. He keeps them all in a same bag. If he picks out three socks at random what is the probability he will get a matching pair?
(1) (2*9C2 * 9C1) / 18C3
(2) (9C2 * 9C1) / 18C3
(3) 1
(4) None of these
Correct Answer - (3)
Solution:
If he picks any of the three socks invariably any two of them should match. Hence the probability is 1.
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