Question

A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is (i) divisible by 2 or 3, (ii) prime number.

Answer 1

Let S be the sample space i.e bag contains cards numbered from 1 to 25.

n(S) = 25 .

A event of getting the number on this card is divisible by both 2 and 3 is n(A)

= { 6,12,18,24} = 4

P(A) =

(ii)number of prime number between 1 to 25 =9

hence probability =