Question

The expected value of the number of heads obtained when three fair coins are tossed simultaneously is

• A. $1$
• B. $1.5$
• C. $0$
• D. $-1$

Answer 1

Answer: (B)

$1.5$

Probability of getting head $p=\frac{1}{2}$

Probability of not getting head $q=1-\frac{1}{2}=\frac{1}{2}$

Number of coins $=3$

Expected value $E\left(x\right)=np$

$=3\times \frac{1}{2}$

$=1.5$