Yet Another Card Game

You are playing a game with a deck of r red cards and b blue cards. You are also given p red tokens and r+b-p blue tokens. (0 ≤ p ≤ r+b). You will now play a game with r+b turns. On the i-th turn, you choose one of your tokens, then choose a random card from the deck uniformly at random. You earn a point if the color of the token matches the color of the card. Otherwise, your score doesn’t change