Question

Match the following events with corresponding probability on tossing two coins simultaneously.

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

Answer 1

Possible outcomes on tossing two coins are: (HH, HT, TH, TT)

Favourable outcome (exactly two head) = HH
Favourable outcome (atleast one head) = HT, TH, HH
Favourable outcome (exactly one tail) = HT, TH

P(exactly two head)
$=\frac{1}{4}$
P(atleast one head)
$=\frac{3}{4}$
P(exactly one tail)
$=\frac{2}{4}$ = $\frac{1}{2}$