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.

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


Now , the Probability of success in the first trial is


P1(success) =


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


P2(success) =


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


P1 P2 = =


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