Question

Two coins are tossed simultaneously. What is the probability of getting (i) at least one head (ii) no head?

Hint:

When dealing with multiple coin tosses, list all possible outcomes to help calculate the probability of specific events.

Answer 1

When two coins are tossed, the possible outcomes are:
\{HH, HT, TH, TT\
So, there are 4 possible outcomes.
(i) Probability of getting at least one head:
The outcomes where at least one head appears are: HH, HT, TH. So, there are 3 favorable outcomes. The total number of outcomes is 4.
The probability of getting at least one head is: \[ P(\text{at least one head}) = \frac{3}{4} \] (ii) Probability of getting no head (i.e., getting two tails):
The only outcome where no head appears is TT. So, there is 1 favorable outcome. The total number of outcomes is 4.
The probability of getting no head is: \[ P(\text{no head}) = \frac{1}{4} \]