Question 1207327
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{{{highlight(cross(Supposed))}}} <U>Suppose</U> a certain game is fair and costs $5 if you lose and has a net payoff of $9 if you win. 
The only possible outcomes of the game are winning and losing.
What is the probability of winning?
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Let P be the probability of winning.
Then the probability of losing is Q = 1-P.


The condition for the game to be fair is

     5*(1-P) = 9P.


Simplify and find P

    5 - 5P = 9P

    5 = 9P + 5P

    5 = 14P

    P = {{{5/14}}}.    <U>ANSWER</U>
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Solved.