You're playing a game where you and an opponent have fair coins. You flip your coin first, and if you get H you win £10. If you get T your opponent may flip, and if he gets H he wins £10.

The game continues in this manner until a H is tossed. What is your expected value?

Question

You're playing a game where you and an opponent have fair coins. You flip your coin first, and if you get H you win £10. If you get T your opponent may flip, and if he gets H he wins £10.

The game continues in this manner until a H is tossed. What is your expected value?

unklerhaukus · Answer

assuming your opponent pays your prize, and you pay your opponents prize , the expectation value 
 is zero,

anonymous · Answer

thanks