Well, you'll have to choose two different ranks out of the 13 available, for example, sevens and tens. Finally, the way to lose this bet is to not get a pair.

13 times six times six-squared is equal to 2,808. If your two cards were the King of Clubs and King of Spades, there are six of each of them in the six deck shoe. Then, once you have chosen your rank and your two suits, there are six ways to choose each of them out of the six-deck shoe. There are four, choose two ways to pick two suits out of four, which equals six. If they were the same, then you would have a suited pair and win more money. Then you must choose two different suits for that pair, because they must be different. How many ways are there to have an unsuited pair? Well, first, you have to choose your rank of the unsuited pair, for example, fives. There are 780 ways you can get the big suited pair win. Six choose two equals 15, so 52 times 15 is equal to 780. Once you have chosen your specific card, there are six of those cards in the six-deck shoe. They must both be the same.įor example, they must both be the five of diamonds. For the suited pair, there are 52 different cards in the shoe. Which is to calculate the number of combinations of each possible outcome of this bet.

With that housekeeping out of the way, let's move on to part two, where I calculate the combinations of each possible outcome of the Pair Square bet. That is equal to 52 factorial divided by five factorial divided by 47 factorial, which equals 2,598,960. An example of this might be, what is the number of ways you can choose five cards out of 52? I explained why this is true in my probabilities in poker video. equals X factorial divided by Y factorial, divided by X minus Y factorial. That is the number of ways you can choose Y items out of X, in this particular example without regard to order.įor example, the number of ways you might be able to choose three unique side dishes out of eight at El Pollo Loco. Let me also explain the combinations function. It is simply the product of every integer from one up to n.įive factorial would be the number of ways you could arrange five different items, which would be 1×2×3×4×5, which equals 120. n factorial is the number of ways you can arrange n different unique items. Before I get into 'Bet the Set', otherwise known as a Pair Square, let me quickly go over a couple mathematical functions, which you may already know. The purpose of this video will be how to calculate the return to player for the Pair Square side bet in Blackjack.

Blackjack side bet perfect pair