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Unformatted text preview: ume all
cars work independently of on another. What is the
probability that at least 1 car works? Independence
and Law of Total
Probability Independence
Law of Total
Probability 7.8 Notes Example 21: Julia’s SLK Independence
and Law of Total
Probability Notes Independence
Law of Total
Probability 7.9 Example 21: Alex’s Diablo Independence
and Law of Total
Probability Independence
Law of Total
Probability 7.10 Notes Example 21: Chris’ 1987 Jimmy Independence
and Law of Total
Probability Notes Independence
Law of Total
Probability 7.11 Example 21 Independence
and Law of Total
Probability Solution. Independence
Law of Total
Probability 7.12 Notes Independence
and Law of Total
Probability Law of total probability Notes Recall the law of partitions
Let A1 , A2 , · · · , Ak form a partition of Ω. Then, for all
events B ,
k P(Ai ∩ B ) P(B ) =
i =1 Independence
Law of Total
Probability By applying the general multiplication rule, we have the
law of total probability
k P(B Ai ) × P(Ai ) P(B ) =
i =1 7.13 Example 22
Acme Consumer Goods sells three brands...
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 Spring '08
 MARTIN
 Probability

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