# Math

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A game is played flipping three coins. If all three coins land heads up you win \$15. If two coins land heads up you win \$5. If one coin lands heads up you win \$2. If no coins land heads up you win nothing. If you pay \$4 to play, what are your expected winnings?

• Math -

HHH: expectation = 15(1/8) = 1.875
2H,1T: expectation = 5(3/8) = 1.875
1H,2T expectation = 2(3/8) = 0.75
TTT expectation = 0(1/8) = 0

total expected winnings = 4.5
Since you are paying \$4 to win \$4.50, you would never ever see this game in a place like Vegas

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