Question

A man tosses two different coins (one of Rs 2 and another of Rs 5) simultaneously. What is the probability that he gets at most one head? 

Answer 1

When two coins are tossed simultaneously, the possible outcomes are {(H, H), (H, T), (T, H), (T, T)} 

n(S) = 4 

The outcomes favourable to the event E, ‘at most one head’ are {(T, H),(H, T),(T, T)} 

So, the number of outcomes favourable to E is 3 = n(E) 

Therefore, `P(E) = (n(E))/(n(S)) = 3/4`

Hence, the probability that he gets at most one head = `3/4`