a) Probability distribution
x P(x)
"5" "\\frac{1}{3}"
"-1.25" "\\frac{1}2{}"
"\\frac{1}{6}"
b) "E(X)=5*\\frac{1}{3}-1.25*\\frac{1}{2}+0*\\frac{1}{6}=\\frac{25}{24}\\approx\\$1.04"
c) Since the expected gain does not equal 0, the game is not fair.
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