Spin Palace Casino

Before we move on, I must clarify one thing. A lot of you might wonder why we never factor the opponents' cards or the burn cards when figuring out how many cards are left. The reason is that we only consider "unseen cards". If you saw what the burn cards were, or an opponent showed you his hand, you would know that those cards are not going to be drawn and could use that. We typically do not know what they have, so we don't even think about it when talking about odds. For instance, take a standard deck of 52 cards, remove 2 Aces and burn 25 of them. If you drew the next card, what are the chances of it being an Ace? It would be 2/50 (2 Aces left out of 50 unseen cards). It would NOT be 2/25 just because you burned half the deck. Okay, do the same thing again, but this time you get to look at the burn cards. Let's say that of all the cards you burned, none were an ace. Now your odds are 2/25 because there are still 2 Aces and now only 25 "unseen cards".

By that same reasoning, let's play a game of draw poker where you get 5 cards as usual, but your opponent gets 40. Say you got Ace, King, Queen, Jack all of Spades!, and a Four of Clubs. You get to ditch the Four and draw one from the remaining pile of 7 cards. What are your chances of getting that Ten of Spades? Assuming you don't get to see your opponents hand, your chances of drawing that card would be 1 in 47 (1 Ten of Spades in the deck, 47 "unseen cards"). It would NOT be 1 in 7. Let's say your opponent goes to the bathroom, and you cheat and look at his hand while ... » read more