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Poker Math That Matters

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72<br />

When we look at the hand range selector in <strong>Poker</strong>stove, we see<br />

three different categories of hands: paired, unpaired suited and<br />

unpaired off-suit (See Figure 5). This layout shows 169 possible<br />

types of starting hands. 5 What is the probability of picking two<br />

cards out of a deck and getting one of these types of starting<br />

hands? Perhaps you would say it’s 1 out of 169. However, this<br />

is not correct. There are different possibilities for each type of<br />

hand, and this is important to understand when working with<br />

ranges. Let’s take a look at it.<br />

First, we’ll look at paired hands which are 22-AA. When you<br />

have four cards, what is the number of different ways we can put<br />

them together to create a unique combination (See Figure 6)?<br />

Figure 6. Four cards can be combined to make six<br />

unique combinations<br />

5 There are actually 1326 unique combinations of starting hands in<br />

hold’em. This range selector groups all suited and offsuit hands. So,<br />

5♠6♠, 5♦6♦, 5♥6♥ and 5♣6♣ are all represented in 56s.

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