Question:
In a single throw of two coins, find the probability of getting
(i) both tails,
(ii) at least 1 tail,
(iii) at the most 1 tail.
Solution:
The outcomes when two coins are tossed are HH, HT, TH and TT.
i.e., total no. of possible outcomes = 4
(i) Getting both tails means TT.
Number of outcomes with two tails = 1
$\therefore \mathrm{P}_{\text {(both tails) }}=\frac{1}{4}$
(ii) Getting at least 1 tail means $H T, T H$ and $T T$.
With at least one tail, total number of outcomes $=3$
$\therefore \mathrm{P}_{\text {(at least } 1 \text { tail) }}=\frac{3}{4}$
(iii) Getting at most 1 tail means HH, HT and TH.
The number of outcomes for at most 1 tail $=3$
$\therefore \mathrm{P}_{(\text {at most } 1 \text { tail })}=\frac{3}{4}$