.A box contains 19 balls bearing numbers 1, 2, 3,…., 19. A ball is drawn at random from the box. Find the probability that the number on the ball is :
(iii) neither divisible by 5 nor by 10
(iv) an even number.
.A box contains 19 balls bearing numbers 1, 2, 3,…., 19. A ball is drawn at random from the box. Find the probability that the number on the ball is :
(iii) neither divisible by 5 nor by 10
(iv) an even number.

(iii) Let E be the event of getting the number on the ball is neither divisible by 5 nor by 10.

Outcomes favourable to E are {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19}

Number of favourable outcomes = 16

P(E) = 16/19

Hence the probability of getting the number on the card is neither divisible by 5 nor by 10 is 16/19.

(iv) Let E be the event of getting the number on the ball is an even number.

Outcomes favourable to E are {2,4,6,8,10,12,14,16,18}

Number of favourable outcomes = 9

P(E) = 9/19

Hence the probability of getting the number on the card is an even number is 9/19.