Question

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.

Answer 1

It is given that a bag contains 17 tickets numbered from 1 to 17 where each trial is independent of the other.

Sample space S = {1, 2, 3, …….., 17}

Consider success ticket drawn is even = 8/17

So the probability of success in the first trial

P₁ (success) = 8/17

Consider the probability of success in the second trial without replacement of the first draw as

P₂ (success) = 7/16

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