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math121b:04-15 [2020/04/15 05:54] pzhou [How to play the probability game?] |
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| ** Conditional Probability **: suppose we want to know "given that $A$ happens, what is the probability $B$ will happen?" | ** Conditional Probability **: suppose we want to know "given that $A$ happens, what is the probability $B$ will happen?" | ||
| - | $$ \P(A | B) := \frac{ \P(A \cap B) } {\P(B) | + | $$ \P(A | B) := \frac{ \P(A \cap B) } {\P(B) } $$ |
| ** The product rule ** | ** The product rule ** | ||