Question

There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - shows an even number.

Answer 1

Sample Space (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

∴ n(S) = 15

Event A: the ticket shows an even number

A = {2, 4, 6, 8, 10, 12, 14}

∴ n(A) = 7 

∴ `P (A) = (n(A))/(n(S))`

= `7/15`

Hence, the probability that the ticket shows an even number is `7/15`.