Mr. Vipin, a famous liar, is known to speak the truth 5 out of 6 times. His blind folded friend Shubham throws a pair of dice and asked Vipin the…

Question

Mr. Vipin, a famous liar, is known to speak the truth 5 out of 6 times. His blind folded friend Shubham throws a pair of dice and asked Vipin the result, who says the sum of numbers on the pair of dice is 9. The probability that the sum of numbers on the pair of dice is actually 9 is k, then the value of 52k is equal to

MARKS Content Team · Accepted Answer

Correct answer: 20. Let, A be an event that Vipin speaks the truth ⇒PA=5/6 and B be an event such that the sum on the pair of dice is equal to 9 ⇒PB=4/36=1/9 PB/A=(PB∩A)/PA=(PB⋅PAB)/(PBPAB+PB^CPA^cB^c) =1/9×5/61/9×5/6+8/9×1/6=5/13

Solution

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