Binomial distribution

upshard

P(k) = \binom{n}{k} \theta^{k} (1-\theta)^{n-k}

Counts successes across n independent yes-or-no trials. The binomial coefficient accounts for every order the successes could have arrived in, which is where the combinatorics enters.

Symbols

$n$: The number of trials.
$k$: The number of successes.
$\binom{n}{k}$: The number of ways to choose k from n.

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Binomial distribution

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