Question

If an unbiased coin is tossed three times, what is the probability of getting more that one head?

• A. $\frac{1}{8}$
• B. $\frac{3}{8}$
• C. $\frac{1}{2}$
• D. $\frac{1}{3}$

Answer 1

The correct option is C $\frac{1}{2}$

Given: coin tossed three times

To find: the probability of getting more that one head

Sol: The sample space is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}, $n\left(S\right)=8$

The favourable outcomes for getting more than one head is {HHH, HHT, HTH, THH}, $n\left(E\right)=4$

Hence, the probability of getting more that one head is $\frac{n\left(E\right)}{n\left(S\right)}=\frac{4}{8}=\frac{1}{2}$