Odds of winning vs. a random hand

[ThinkQuick]

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Thanks. Thats the way that I was kinda thinking about doing the calculations was just wondering if there might be a simpler way of doing it without having muscle through each hand.

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wow.
um, why again?


there are many subcategories like unpaired suited, unpaired gutshot, etc.; but you'd need to be careful not to double - count.

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wow.
um, why again?


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I need this for a project for a probability class I'm taking and the only way that comes to mind on how to solve this problem is to determine every possible hand combination and figure out the probabiliy of winning vs. those hands. I was just trying to see if there was another way that I could go about figuring this out other than the way that I was thinking. Unfortunatly is seems like im just gonna have to sit down and grind out some numbers.