Question

A coin is tossed $5$ times. The probability of $2$ heads and $3$ tails is:

• A. $\frac{11}{16}$
• B. $\frac{5}{16}$
• C. $\frac{11}{32}$
• D. $\frac{5}{32}$

Answer 1

Answer: (B)

$\frac{5}{16}$

Given: Coin tossed $5$ times

To find the probability of $2$ heads and $3$ tails

According to the question, $n\left(S\right)=2^5=32$

The possible way of getting $2$ heads and $3$ tails is $\{HHTTT,HTHTT,HTTHT,HTTTH,THTTH,THTHT,THTTH,TTHTH,TTTHH,HTHTT\}=10$

Hence, the probability of getting $2$ heads and $3$ tails $=\frac{10}{32}=\frac{5}{16}$