quartz/content/Obsidian Vault/joint probability.md
2022-06-07 14:39:39 -06:00

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#math #stats
the probability of both events happening
$$P(A\cap B) = P(A)P(B|A)$$
since if B were to be dependent upon A, we don't want to essentialy count the probability of A happening twice, so we have to seperate it with $P(B|A)$
if both A and B are **independent**,
$$P(A\cap B) = P(A)P(B)$$