Question

Harpreet tosses two different coins simultaneously (say, one is of Rs. $1$ and other of Rs. $2$). What is the probability that he gets at least one head?

Answer 1

When two coins are tossed together, the total number of outcomes $=4$

i.e., $(HH,HT,TH,TT)$

Let $H$ be the event of getting at least one head

Therefore, no. of favorable events, $n\left(H\right)=3(i.e.,HT,HH,TH,)$

We know that, $P\left(H\right)$ $=\frac{\text{(No.of favorable outcomes)}}{\text{(Total no.of possible outcomes)}}$$=\frac{3}{4}$

Therefore, the probability that he gets at least one head is $\frac{3}{4}$