A bag contains 5 balls of unknown colors such that a ball is drawn at random from it and is found to be white. The probability that bag contains only white balls is
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answer is 0000.33.
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Detailed Solution
Let Wi(i=1,2,3,4,5) denotes i white balls and (5−i) denotes other coloured balls. W denotes event of selecting white ball.PWWi=i5,(i=1,2,3,4,5)PWi=15,(i=1,2,3,4,5)Probability of occurrence of W given W5 has occurredPWW5=PW5⋅PWW5∑i=15 PWiPWWi=15×11515+25+35+45+55=13 Therefore, the correct answer is 0.33 Baye's theorem
A bag contains 5 balls of unknown colors such that a ball is drawn at random from it and is found to be white. The probability that bag contains only white balls is