How do I solve this probability?

Question

If I flip a coin four times, what is the probability that I have the same number of heads as tails? include An explanatio, please.

Answer 1

(4 choose 2) (1/2)^2 (1/2)^2 =

(4*3/2) * (1/4)(1/4) = 6/16 = 3/8 = 37.5%