Lemma
EasyConditional probability
OpenStax, Introductory Statistics 2e §3.4 Contingency Tables · Example 3 · Probability · Conditional probability

Contingency Tables · Example 3

b. Are the events "being a woman" and "preferring the coastline" independent events?
Let F = being a woman 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, Introductory Statistics 2e · §3.4 Contingency Tables · Example 3

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