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Lecture3

# 11 conditional probability example 12 venn diagram

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Unformatted text preview: xample 12 Venn Diagram Linux Conditional Probability Mac OS General Multiplication Rule 9 4 3 9 2 2 17 Windows 4 3.12 Notes Conditional Probability Example 12 Notes Solution. 1 P(W ∩ M ∩ L|W ) = 9 50 30 50 P((W ∩M ∩L)∩W ) P(W ) = P(W ∩M ∩L) P(W ) = Conditional Probability = 0.3 P((W ∩M ∩L)∩W c ) 2 P(W ∩ M ∩ L|W c ) = 3 P( W | M ) = 4 P((W ∪ M ∪ L)c |W c ) = P((W ∪M ∪L)c ) P(W c ) P(W ∩M ) P(M ) = 1− 46 50 20 50 P(W c ) = 11 50 18 50 = = P(∅) P(W c ) = 0 50 20 50 General Multiplication Rule =0 11 18 P((W ∪M ∪L)c ∩W c ) P(W c ) = = 0.2 3.13 Summary Conditional Probability In this lecture, we learned Conditional probability: deﬁnition, formula, venn diagram representation General multiplication rule Conditional Probability General Multiplication Rule 3.14 Notes...
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