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Aptitude | Probability | Question 5

An urn contains 12 red and 18 white marbles. Two marbles are drawn without replacement one after another. What is the probability that first is red and second is white?

(A) 16/145
(B) 9/32
(C) 36/145
(D) 5/32

Answer: (C)
Explanation: Two marbles are drawn without replacement one after another, then the probability that first is red and second is white,

= (12/30)*(18/29)
= (2/5)*(18/29)
= (2*18) / (5*29)
= 36 / 145 

So, option (C) is correct.
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