Question

Three coins are tossed simultaneously. What is the probability of getting exactly two heads?

• A. $\frac{1}{2}$
• B. $\frac{3}{8}$
• C. $\frac{3}{4}$
• D. $\frac{1}{4}$

Answer 1

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

Let H : Head

and, T : Tail

then the outcomes when 3 coins are tossed simultaneously are

\( \begin{array}{lll} H & H & H \\ H & H & T \\ H & T & H \\ H & T & T \\ T & H & H \\ T & H & T \\ T & T & H \\ T & T & T \end{array} \)

Thus total outcomes are 8.

two heads means exactly 2 heads

Favourable cases = (HHT, HTH, THH)

Probability = 3/8

Answer:- (c) 3/8