A magician designed an unfair coin so that the probability of getting a Head on a flip is 60%. If he flips the coin three times, what is the probability that he flips more Heads than Tails? Express your answer as a common fraction.

Guest Aug 2, 2017

#1**+1 **

"More heads than tails" means these possibilities :

2 Heads - 1 Tail

3 Heads - 0 Tails

Probability of 2 Heads - 1 Tail = C(3,2) (.60)^2 (.40) = 3 * (.36)(.40) = 3 * .144 = 3 (144/1000) = 3 ( 18/125) =

54/125

Probability of 3 Heads = (.60)^3 = .6 (.36) = .216 = 216 / 1000 = 27 / 125

So....the total probability = 54 / 125 + 27 / 125 = 81 / 125

CPhill
Aug 2, 2017