Question

what is the probability of heads in a fair coin ?

Answer 1

We know that in a fair coin toss, there can be two outcomes, namely head and tails.

So, the sample space of a fair coin toss will contain two elements, head denoted by H and tail denoted by T.

So, all possible cases is 2.

Now, head can occur in only 1 way, ie. H.

So, the number of favourable cases is 1.

Now, we know that probability of an event is nothing but the ratio of the number of favourable cases of the event, to the number of all possible cases.

So, the required probability is

=1/2.

So, the probability of heads in a fair coin is 1/2, ie. 0.5.