Question

dice is thrown. Find the probability of getting:


i. a prime number


ii. 2 or 4


iii. a multiple of 2 or 3.​

Answer 1

(i) Prime numbers on a dice are 2, 3, and 5. So, the total number of prime numbers is 3.

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, probability of getting a prime number = 3/6= 1/2

(ii) For getting 2 and 4, clearly the number of favourable outcomes is 2.

We know that Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting 2 or 4 = 2/6=1/3

(iii) Multiple of 2 are 3 are 2, 3, 4 and 6. So, the number of favourable outcomes is 4

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting an multiple of 2 or 3 = 4/6 = 2/3