Question

When a coin is tossed thrice, what is the probability of getting two heads and one tail ?

• A. $\frac{2}{8}$
• B. $\frac{3}{8}$
• C. $\frac{4}{8}$
• D. $\frac{5}{8}$

Answer 1

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

When a coin is tossed thrice, the possible outcomes are as follows:
H H H , H H T, H T H, T H H, T T H, T H T, H T T , T T T.
Out of these 8 outcomes, the favourable outcomes for 2 heads and a tail are H H T, H T H, T H H.
Therefore, the probability of getting 2 heads and a tail =$=\frac{No.of.favourableoutcomes}{TotalNo.of.outcomes}=\frac{3}{8}$