Question

A box contains tokens numbered 5 to 16. A token is drawn at random. Find the probability that the token drawn bears a number divisible by:

1. 5
2. Neither by 2 nor by 3

Answer 1

S = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}

Total no. of tokens = 12

(a) Favourable outcomes = {5, 10, 15}

P (No. divisible by 5) = `("No. of favourable outcomes")/("Total no. of possible outcomes")`

`= 3/12 = 1/4`

(b) Favourable outcomes = {5, 7, 11, 13}

P(neither divisible by 2 nor by 3) = `4/12 = 1/3`