Let Ω = { 0, 1, 2} be the outcome space in a model for tossing a coin twice and observing the total number of heads. Say if the following events can be represented as subsets of Ω. If you say "yes", provide the subset: if you say "no, explain why:
a) the coin does not land heads both times:
b) on one of the losses the coin lands heads, and on the other loss it lands tails:
c) on the first toss the coin lands heads, and on the second toss it lands tails:
d) the coin lands heads at least once.