Question

Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is an even number.

Answer 1

All possible outcomes are  2, 3, 4, 5................101.

Number of all possible outcomes = 100

Out of these the numbers that are even = 2, 4, 6, 8...................100

 Let E₁ be the event of getting an even number.

Then, number of favourable outcomes = 50​

`[T_n = 100 rArr  2 + (n - 1)xx 2 = 100, rArr n = 50]`

`therefore P ("getting an even number") = 50/100 = 1/2`