1. The problem statement, all variables and given/known data A coin can be flipped a maximum of four times The following conditions exist: H(first) = $1 H(second) = $2 H(third) = $3 H(fourth) = $4 Where H = Heads And first, second, third and fourth, refer to what order one head is obtained. What is the expected gain 2. Relevant equations Binomial Distribution. E(x) = Sum of ((x) . P(x)) 3. The attempt at a solution Drew up a binomial distribution: Combination are as follows: HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT It ends up being (8/16) for each one which is equal to half which is the same for each one. Where have I gone wrong? Please help.