Lemma
EasyConditional probability
OpenStax, Statistics §3.4 Contingency Tables · Example 3 · Probability · Conditional probability

Contingency Tables · Example 3

b. Are the events being female and preferring the coastline independent events?
Let F = being female and let C = preferring the coastline.

(a) Find P(F AND C).
(b) Find P(F)P(C).
Are these two numbers the same? If they are, then F and C are independent. If they are not, then F and C are not independent.

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OpenStax, Statistics · §3.4 Contingency Tables · Example 3

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