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Question
From a pack of 52 playing cards three cards are drawn at random. Find the probability of drawing a king , a queen and a jack?
From a pack of 52 playing cards three cards are drawn at random. Find the probability of drawing a king , a queen and a jack?
(a)6/5525 (b)1/13^3 (c)1/14^3 (d)1/15^3
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Answer
The probability of drawing a king, a queen and a jack in that order is $$1/13 * 1/13 * 1/13 = 1/13^3$$
The three cards can be picked up in any order, the number of ways of doing this is = 3! = 6 ways
So, required probability = $$6/13^3$$
