Question

In a simultaneous throw of two coins, find the probability of getting (i) two heads (ii) exactly one head (iii) no tail (iv) at least one tail Select the correct answer from above options

Answer 1

(i) Outcomes = (H,H), (H,T),(T,H),(T,T) Total number of outcomes = 4 Two heads occurs any once so total number of favorable outcomes = 1 P(two heads) = 1/4 (ii) Outcomes = (H,H), (H,T),(T,H),(T,T) Total number of outcomes = 4 Exactly one head occurs 2 times so a total number of favourable outcomes = 2. P(exactly one head) = 2/4 (iii) Outcomes = (H,H), (H,T),(T,H),(T,T) Total number of outcomes = 4 No tails occurs only one time when there are two heads = 1 so total number of favourable outcomes = 1 P(no tails) = 1/4 (iv) Outcomes = (H,H), (H,T),(T,H),(T,T) Total number of outcomes = 4 Atleast one tails occurs 3 times so total number of favourable outcomes = 3 P(atleast 1 tail) = 1/4