Question

A bag contains 15 cards bearing numbers 1,2,2...........14,15.A cards is drawn from the bag at random find the probability of getting (a) a prime number (b) a number divisible by 2

Answer 1

probability of getting a prime number=6/15=2/5
probability of getting a number divisible by 2= 7/15 ✓✓

Answer 2

Total no.of cards = 15

Probability of an event = No. of favourable outcomes / Total no.of outcomes

(a) For a prime number ::
Sample space = { 2,3,5,7,11,13 }
No. of prime numbers = 6

P ( getting a prime number) = 6 / 15 = 2/5

(b) For a number divisible by 2 ::
Sample space = { 2,4,6,8,10,12,14 } 
No. of numbers divisible by 2 = 7

P ( getting a number divisible by 2} = 7 / 15.

Hope this helps you !!
#  Dhruvsh