Coin flips and events. 1)A coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H,...

Coin flips and events.

1)A coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event.

(b)

There are at least two consecutive flips that come up heads.

(c)

The first flip comes up tails and there are at least two consecutive flips that come up heads.