Question

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

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

Answer 1

The correct option is C $\frac{1}{8}$

Given: three coin tossed

To find: the probability of getting head all three times

Sol: The sample space when three coins are tossed $=HHH,HHT,HTH,HTT,THH,THT,TTH,TTT=8$

The favourable outcome for all three being the head is $HHH=1$

Hence, the probability of getting head all three times = $\frac{1}{8}$