# Coin flipping game probability

I have a 2 sided fair penny, if I flip heads 4 times in a row I win 10 dollars but it costs 1 dollar to play, should I play the game?

Is the answer no because $$(10/2^4)-1$$ is negative?

• you are correct. – Matthew Daly Nov 8 at 16:40

Win probability is (0.5)^4 and you'll have $10 Lose probability is 1-(0.5)^4 and it costs you$4
(10*0.0625) + (-4*0.9375) = -3.125

To put it in plain English, you will lose, on average, $3.125 for every $4 you will invest so if you came with a $400 to play 100 games, you will likely to leave with $87.5.