A bag contains slips numbered from1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since, this situation has only two possible outcomes, so the probability of each is 1/2.Justify.

Question

A bag contains slips numbered from1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since, this situation has only two possible outcomes, so the probability of each is 1/2.Justify.

Philoid · Accepted Answer

We know that, between 1 to 100 half numbers are even and half numbers are odd i.e., 50 numbers (2, 4, 6, 8, …, 96, 98, 100) are even and 50 numbers (1, 3, 5, 7, …, 97, 99) are odd. So, both events are equally likely.

So, probability of getting even number = 50/100 = 1/2

and probability of getting odd number = 50/100 = 1/2

Hence, the probability of each is 1/2