Coin Flipping Endlessly..

You flip three fair coins. Let X be the number of heads that come up in those three flips. Thenyou take all the coins that came up tails, and re-flip them. Let Y be the number of heads thatcome up on the re-flipped coins. Find an expression for P(Y = y|X = x) in terms of the variable x. Also findE(Y = y|X = x) in terms of x. Also Find E(X + Y).