NDA 2019 Mathematics question

MathematicsProbabilityNDA 2019

There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

Answer: (C)

Solution

By Bayes' theorem, \mid$ H) =

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Question ID VK-029164