A speaks truth 3 times out of 4 while B ...

A speaks truth 3 times out of 4 while B speaks truth 7 times out of 10. A ball is drawn at random from a bag containing one black ball and five other balls of different colors. Both A and B report that a black ball has been drawn from the bag. Find the probability of their assertion being true?

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A DAS GUPTA-Total Conditional Probability and Bayes' Theorem-Exercise

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