For a fair coin, Probability of a head, P(H) = 1/2 = 0.5 Probability of a tail , P(T) = 1/2 = 0.5 The number of possible outcomes is small enough to simply list the outcome: The possible outcomes of flipping a coin 7 times and getting heads 6 times are these 7 possibilities: THHHHHH HTHHHHH HHTHHHH HHHTHHH HHHHTHH HHHHHTH HHHHHHT The probability of EACH of the above outcomes is = (0.5)(0.5)(0.5)(0.5)(0.5)(0.5)(0.5) = (0.5)⁷ Since there are 7 possibilities and since the probabilities of every outcome is identical, the probability of rolling the 7 outcomes is, = 7 x probability of each outcome = 7 x (0.5)⁷ = 0.5468 = 5.468% = 5.5% (nearest tenth)
