# CBSE Class 12-science Answered

**An urn contains five balls. Two balls are drawn and found to be white. Find the probability that all the balls are white.**

Asked by Topperlearning User | 19 Aug, 2016, 11:37: PM

Expert Answer

Let A_{i} ( i = 2, 3, 4, 5) be the event that urn contains 2, 3, 4, 5 white balls and let B be the event that two white balls have been drawn then we have to find P (A_{5}/B).

Since the four events A

_{2}, A_{3}, A_{4}and A_{5}are equally likely we haveP (A

_{2}) = P (A_{3}) = P (A_{4}) = P(A_{5}) =_{}.P(B/A

_{2}) is probability of event that the urn contains 2 white balls and both have been drawn._{}

Similarly,

_{}By Bayes’ theorem,

_{}

Answered by | 20 Aug, 2016, 01:37: AM

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