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what is the probability of heads in a fair coin ?
A fair coin can give only two outcomes. These are head and tail.
So, the sample space of tossing a fair coin has 2 elements, namely 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, favourable number of cases is 1.
We know that probability of an event is ratio of the number of favourable cases of that event, to the number of all possible cases.
So, the probability of heads is
.
So, the probability of heads in a fair coin is 1/2, ie. 0.5.
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