Question

If $3$ coins are tossed simultaneously, the probability of $2$ heads and $1$ tail is:

• A. $\frac{5}{8}$
• B. $\frac{1}{8}$
• C. $\frac{3}{8}$
• D. $\frac{7}{8}$

Answer 1

The correct option is C $\frac{3}{8}$

Given: Coin tossed $3$ times

To find the probability of $2$ heads and a tail

According to the question, $n\left(S\right)=2^3=8$

Favourable ways to get $2$ heads and $1$ tail are $\{HHT,HTH,THH\}$

Hence, the probability of getting $2$ heads and $1$ tail $=\frac{3}{8}$