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A bag contains 17 tickets, numbered from 1 to 17. A ticket is drawn, and then another ticket is drawn without replacing the first one. Find the probability that both the tickets may show even numbers.

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Given: A bag contains 17 tickets , numbered 1 to 17, and each trial is independent of the other.

Hence the sample space is given by S = {1,2,3,……,17}

To find: the probability that both the tickets are drawn show even numbers.

Let , success : ticket drawn is even.i.e\(\frac{8}{17}\)

Now , the Probability of success in the first trial is

P1(success) = \(\frac{8}{17}\)

Probability of success in the second trial without replacement of the first draw is given by

P2(success) = \(\frac{8}{17}\)

Hence , the probability that both the tickets show even numbers with each trial being independent is given by

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