# Math

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A coin is tossed three times. If heads appears on all 3 tosses, Mary will win \$16. If heads appears on 2 of the
tosses, she will win \$2. The game costs \$5 to play. What is her mean expectation?

• Math -

Assuming Mary gets nothing from the other outcomes.

For 3 tosses,
outcome probability(P) return(E)
HHH 1/8 \$16
HHT 1/8 \$2
HTH 1/8 \$2
THH 1/8 \$2
Mean expectation
= Σ PE
= 16/8 + 3*2/8
= 2+6/8
= 2.75

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