Question

A bag contains tickets numbered 11, 12, 13,..., 30. A ticket is taken out from the bag at random. Find the probability that the number on the drawn ticket

(i) is a multiple of 7

(ii) is greater than 15 and a multiple of 5.

Answer 1

Total no. of possible outcomes = 20 {11, 12, 13, ….., 30}

(i) E ⟶ event of getting no. which is multiple of 7

No. of favorable outcomes = 3 {14, 21, 28}

Probability, P(E) = (No.of favorable outcomes)/(Total no.of possible outcomes)

P(E) = 3/20

(ii) E ⟶ event of getting no. greater than 15 & multiple of 5

No. of favorable outcomes = 3 {14, 21, 28}

P(E) = 3/20