Question 1191268
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P(3H) = {{{1/8}}};

P(2H) = {{{3/8}}};

P(H)  = {{{3/8}}}.


The math expectation of winning is  {{{25*(1/8) + 14*(3/8) + 7*(3/8)}}} = {{{(25+14*3+7*3)/8}}} = {{{88/8}}} = 11 cents.


So, the fair price to pay to play this game is 11 cents per game.    <U>ANSWER</U>
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Solved.