Question

Two coins are tossed together. Find the probability of getting:
(i) exactly one tail
(ii) at least one head
(iii) no head
(iv) at most one head

Answer 1

Total numbers = 4 i.e., HH, HT, TT, TH
(i) Favourable outcomes = 2 i.e., HT and TH
P(E) = $\frac{2}{4}=\frac{1}{2}$
(ii) Favourable outcomes=3
i.e., HH, HT and TH
P(E) =$\frac{3}{4}$
(iii) favourable outcomes= 1 i.e., TT
P(E) = $\frac{1}{4}$
(iv) Favourable outcomes= 3
i.e., HH, HT and TH
P(E)= $\frac{3}{4}$