What Should I Study to Understand Probabilities in Poker?

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To understand probabilities in poker, studying game theory is essential, as it provides foundational insights into strategic decision-making. Recommended resources include books specifically focused on game theory and its applications to card games. Additionally, exploring mathematical concepts related to card shuffling and combinations can enhance understanding of probability mechanics. Online resources, such as those from MathWorld, can also offer valuable information. Gaining a solid grasp of these fundamentals will significantly improve one's ability to analyze poker probabilities.
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I am interested in learning about the probabilities involved in card games, i.e., poker. However what would I be required to study for gaining this knowledge of how much chance is involved for certain combination of cards, and I really have no idea on what I could begin looking at. I was wondering if somebody happening to read this might know what I should look for and explain the basics/fundamentals involved for this, if it does not take too much of your time. Many thanks,
Pavadrin
 
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I don't have that much information but i know one thing. That is find and read books on "game theory". There are many books written on the topic. I hope this helps
Samuel
 
hey that's great Samuel, it gives me somewhere to start from, thank you very much
 
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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