Poker has been associated with Maths for a number of years and many are those who speculate that the best poker players are the ones with a good head for numbers. But how much of this is true, and what kind of math can come in useful when playing poker? In the below article we shall delve a little deeper …

According to Multiplication Theorem of Probability, for any two events A, B probability of A∩B is as given below P(A∩B) = P(A).P(B/A) = P(B).P(A/B) Suppose N is the total number of simple events in the sample space S. Simple events in A∩B = λ1, λ2,……..,λk Simple events in A = α1, α2,……,αm,λ1, λ2,……..,λk Simple events in B = β1, β2,……,βn, …

If S is the sample space of a random experiment, ‘E’ is any event, then probability of E is denoted by P(E) and is defined as P(E) = (Number of Simple Events in E / Total Number of Simple Events in S.) Note that, P(φ) = 0 and P (S) = 1

According to Addition Theorem on Probability, for any two elements A, B P(A∪B) = P(A) + P(B) – P(A∩B) Addition Theorem on Probability Proof :- Expressing A∪B as the union of two mutually exclusive events we get(A∪B) = A ∪ (B-A)P(A∪B) = P(A ∪ (B-A)) By applying axiom of union we get, P(A∪B) = P(A) + P(B-A) since A, B-A …