Question

A bag contains fifteen cards bearing number 11, 12, 13, 14, ..... , 25. A card is chosen from the bag. Find the probability that it bears (i) a prime number. (ii) a number divisible by 2.

Answer 1

(i) Total outcomes = 15
Favourable outcomes of getting a prime number = 5 ( 11, 13, 17, 19, 23)
p(x) = favourable outcomes/total outcomes
p(getting a prime number ) = 5/15 = 1/3

(ii) Total outcomes = 15
Favourable outcomes of getting a number divisible by 2 = 7 (12, 14, 16, 18, 20, 22, 24)
p(x) = favourable outcomes/total outcomes
p(getting a number divisible by 2) = 7/15

Answer 2

Step-by-step explanation:

I) total outcomes =15

favorable outcomes of getting a prime no =5(11,13,17,19,23)

p(x)=favorable outcomes /total outcomes