Question

There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is taken out from the bag at random. Find the probability that the number on the selected card

(i) is divisible by 9 and is a perfect square.

(ii) is a prime number greater than 80.

Answer 1

Sample space = {7,2,3...99,100}

n(s) = 100

(i) Number divisible by 9 and perfect square are

A = { 9,36,81}

n(A) = 3

(ii) Prime numbers greater than 80 and less than 100

are B =  {83,89,97}

.^. . n(B) = 3