What are the Sample Spaces?
Sunday, May 16th, 2004 in the weewizzle hours by Moe
In order to evaluate poker situations we need to know the size of the sample space, and we need to know how many events are in each sample space. An event is one of the possible outcomes of the situation, and all of the outcomes together, comprise the sample space.
We also need to know how many of those events are in our favor, and how many of those events are in our opponent’s favor. That’s what combination theory does.
Later we’ll use this information to calculate expected values.
In a hold’em game we want to know how many events there are for 5th street, 4th street, 4th and 5th street combined, the starting hands, and the flop. Each of these groups is known as a sample space, and each member of the sample space is known as an event.
Exploring sample spaces is easy once you get the hang of it, but it can be a challenge to get the hang of it. So, we’ll start of with very simple examples and work our way into the hold’em sample spaces.
Let’s start with symbols. Count the symbols: @ @ #. There are 3 symbols. If we think of each symbol as an event, there are 3 events. Therefore, the sample space is 3.
We also need to know how many of those events are in our favor, and how many of those events are in our opponent’s favor. That’s what combination theory does.
Later we’ll use this information to calculate expected values.
In a hold’em game we want to know how many events there are for 5th street, 4th street, 4th and 5th street combined, the starting hands, and the flop. Each of these groups is known as a sample space, and each member of the sample space is known as an event.
Exploring sample spaces is easy once you get the hang of it, but it can be a challenge to get the hang of it. So, we’ll start of with very simple examples and work our way into the hold’em sample spaces.
Let’s start with symbols. Count the symbols: @ @ #. There are 3 symbols. If we think of each symbol as an event, there are 3 events. Therefore, the sample space is 3.
You need to count the kill card....before the flop and after the turn as well.
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