In a game of Texas Hold’em, suppose your hole cards are K♥ K♣. Your opponent’s hole cards are K♦ K♠. What is the probability you flop a full house
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In a game of Texas Hold’em, suppose your hole cards are K♥ K♣. Your opponent’s hole cards are K♦ K♠. What is the probability you flop a full house? (Note: You need the flop to be 3 cards of the same value).
As all 4 kings has been dealt, so we have now 12 kinds of card which is total 48 cards
For a full house, we need 3 cards of a same kind and other 2 of a different same kind.
As we already have 2 of a one same kind and can't have more kings dealt, so here if 3 cards of any 12 kinds are dealt, we will have a full house.
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