Question

Three coins are tossed simultaneously. Find the probability of at least one head and one tail.

• A. $\frac{1}{2}$
• B. $\frac{1}{4}$
• C. $\frac{3}{4}$
• D. None of these

Answer 1

The correct option is C $\frac{3}{4}$

The sample space for a simultaneous toss of coins
S={HHH,HHT,HTT,THH,TTH,THT,HTH,HHH}
Favourable cases={HHT,HTT,THH,TTH,THT,HTH}
$\therefore$P(getting at least one head, one tail)=$\frac{6}{8}$=$\frac{3}{4}$.