As the coin is tossed 5 times the total number of outcomes will be \(2^5=32.\)
And we know that the favourable outcomes of a head appearing even number of times will be,
That either the head appears 0, 2 or 4 times so,
The respective probabilities will be:- \(5_{C_0}\) + \(5_{C_2}\) + \(5_{C_4}\) = 16
Thus, the probability
\(=\frac{The\,favourable\,outcomes}{The\,total\, number\, of\, outcomes}\)
\(\Rightarrow=\frac{16}{32}=\frac{1}{2}\)
Hence, the probability is 1/2.
