No that isn't correct...each coin toss has a 1/2 chance of being either heads or tails.

Your outcomes and probabilities are:

P(HH) = 1/2 * 1/2 = 1/4

P(TT) = 1/2 * 1/2 = 1/4

P(HT) = 1/2 * 1/2 = 1/4

P(TH) = 1/2 * 1/2 = 1/4

Note the last 2 probabilities are the same event P(1).

So P(0 H) = 1/4, P(1) = 1/2 and P(2) = 1/4.