Re: Mathematics of Poker - trying to solve a problem
This is the definition of the binomial distr. from Wolfram Mathworld:
The binomial distribution gives the discrete probability distribution P_p(n|N) of obtaining exactly n successes out of N Bernoulli trials (where the result of each Bernoulli trial is true with probability p and false with probability q==1-p).
a bernoulli trial is an experiment that has two outcomes. the most basic example is flipping a coin b/c you either get heads or tails. however most experiments can be set up to qualify as bernoulli trials. wikipedia offers the example of rolling a die 10 times and recording the number of sixes.
in your experiment the Bernoulli trial is being dealt a two card hand. DUCY?
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