2. Consider two flips of a coin, and suppose that the following outcomes are equally likely to you: H1H2, H1T2, T1H2 and T1T2, where Hi indicates Heads on flip i and similarly for Ti.

(a) Compute your probability of at least one head.

(b) Compute your probability of a match, (i.e., both heads or both tails).

(c) Compute your probability of the simultaneous occurrence of at least one head and a match.