Pig Tails is a game similar to Pig, here is how it is played:

Each turn is spent flipping a coin until you decide to stop or get tails.If you stop before getting tails, your score for the turn is the number of heads that you got.That is, the number of times you flipped

What is the expected value per turn if your strategy is to flip just once and then stop?

Next, consider the strategy of always flipping twice (unless you get tails on the first flip) and then stopping.What is the expected value for that strategy?

What is the expected value per turn if you always flip three times (unless you get tails on the first or second flip)?

Generalize the solution: What is the expected value if you flip the coin N times and then stop (unless you got tails on an earlier flip)?