Question

15 cards numbered 1,2,3,......,15 are put in a box and mixed throughly. Manish drawn a card from the box.what is the probability that the number on card is prime.

Answer 1

Numbers on the cards are 1,2,3,.....15.

Total number of possible outcomes n(S) = 15.

(i) Prime number

Let A be the event of drawing a prime number.

n(A) = {2,3,5,7,11,13}

      = 6.

Therefore,

Required probability P(A) = n(A)/n(S) = (6/15) = (2/5).

Hope it helps!

Answer 2

No of prime numbers from 1 to 15 =2 ,3,5,7 11 and 13
Probability =6/15=2/5