Discrete Math
A coin is flipped four times. For each of the events describedbelow, express the event as a set in roster notation. Each outcomeis written as a string of length 4 from {H, T}, such asHHTH. Assuming the coin is a fair coin, give the probability ofeach event.

( a ) The first and last flips come up heads.
( b ) There are at least two consecutive flips that come upheads.
( c) There are at least two consecutive flips that are the same