11.4 Combinations and binomial probability
Unit 11 · Probability and counting
Ideas in this lesson
Unordered selections
A combination counts subsets; dividing permutations by the orderings within each subset removes overcounting.
Counting probability
Divide favorable equally likely subsets by all equally likely subsets.
Binomial conditions
A binomial model requires a fixed number of independent binary trials with constant success probability.
Exact binomial probabilities
Multiply the number of success positions by the probability of any one arrangement with that success count.
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