Penney's Game

The problem
YouHHHFriendTHHvsflip a fair coin repeatedlyfirst pattern to appear wins

You and a friend play a game. You each pick a sequence of three coin flips:

  • You: Heads, Heads, Heads (HHH)
  • Friend: Tails, Heads, Heads (THH)

A fair coin is flipped repeatedly. The first sequence to appear in order, as consecutive flips wins. Who wins more often?