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A bag contains n balls, one of which is ...

A bag contains n balls, one of which is white. The probability that A and B speak truth are `P_(1) and P_(2),` respectively. One ball is drwn from the bag and A and B both assert that it is white. Find the probability that drawn ball is actually white.

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To solve the problem, we will use Bayes' theorem to find the probability that the drawn ball is actually white given that both A and B assert that it is white. ### Step 1: Define the Events Let: - \( W \): the event that the drawn ball is white. - \( N \): the event that the drawn ball is not white. - \( A_T \): the event that A speaks the truth. - \( B_T \): the event that B speaks the truth. ...
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CENGAGE ENGLISH-PROBABILITY II-SOLVED EXAMPLES
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  11. An urn contains 2 white and 2 black balls. A ball is drawn at random. ...

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  16. A bag contains n balls, one of which is white. The probability that A ...

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  18. In a competitive examination, an examinee either guesses or copies or ...

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  19. A box contains N coins, m of which are fair and the rest are biased. T...

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