Probability & statistics / English

Probability: The Basics EXPLAINED with Examples

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Introduce probability through equally likely outcomes, total probability and complements.

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The ratio of favorable outcomes to total outcomes applies when the finite outcomes are equally likely. A fair coin gives tails probability $1/2$ .

Every event probability lies between zero and one. A complete collection of mutually exclusive outcomes has probabilities summing to one.

An event and its complement are disjoint and cover all outcomes. Therefore their probabilities add to one, so P(not A)= $1-P(A)$ .

The ratio of favorable outcomes to total outcomes applies when the finite outcomes are equally likely. A fair coin gives tails probability $1/2$ .

Every event probability lies between zero and one. A complete collection of mutually exclusive outcomes has probabilities summing to one.

An event and its complement are disjoint and cover all outcomes. Therefore their probabilities add to one, so P(not A)= $1-P(A)$ .

Probability ExplanationAt 0:30
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The ratio of favorable outcomes to total outcomes applies when the finite outcomes are equally likely. A fair coin gives tails probability $1/2$ . Every event probability lies between zero and one. A complete collection of mutually exclusive outcomes has probabilities summing to one. An event and its complement are disjoint and cover all outcomes. Therefore their probabilities add to one, so P(not A)= $1-P(A)$ .