STT 201 Study Guide - Final Guide: Hypergeometric Distribution, Almost Surely

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Not mutually exclusive can happen at the same time. In the population, k items can be classified as successes, and n - k items can be classified as failures. Prob(three of a kind) = ------------------------- = . 02112845. Royal flush is {10, j, q, k, a}of the same suitwe need to choose one suit(same color) Binomial is applicable when selecting from a finite population with replacement. Rules: the value of n must be fixed in advance. |a b| = |a| + |b| - |a b: p must be the same from trial to trial, the trails must be independent, each observation represents one of two outcomes ("success" or "failure"). Inclusion-exclusion principle the total probability of a set of events is the sum of the individual probabilities of each individual event, minus the overlap (the probability of the events happening at the same time).