Question

If two identical coins are tossed for one time simultaneously. Find :

(a) the possible outcomes,

(b) the number of total outcomes,

(c) the probability of getting two heads,

(d) probability of getting at least one head,

(e) probability of getting no heads and

(f) probability of getting only one head.

Answer 1

(a) In two coins, possible outcomes are

HH, HT ,TH and TT

b) Number of total possible outcomes are $4$.
c) Probability of getting two heads $=\frac{\text{Number of favorable outcomes of getting two heads}}{\text{Number of total possible outcomes}}=\frac{1}{4}$
d) Probability of getting at least one head $=\frac{3}{4}$.
[At least one head means getting a head one or more number of times]
e) Probability of getting no heads $=\frac{1}{4}$.
f) Probability of getting only one head $=\frac{2}{4}=\frac{1}{2}$.