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