Discrete MathA 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.( a ) The first and last flips come up heads.( b ) There are at least two consecutive flips that come up heads.( c) There are at least two consecutive flips that are the same
In a geometric progression: a, b, c, d... The common ratio can be obtained using: b/a = c/b = d/c b/a = 112 / 64 = 1.75 c/b = 196 / 112 = 1.75 d/c = 343 / 196 = 1.75 The common ratio = 1.75
