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Lecture9_updated

# Lecture9_updated - • Venn diagram • Proof • Tree...

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Lecture 9 20 th  May 2011

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Multiplication and Partition rules: Product Rule:  Let A, B, C, D, … be  arbitrary events in S. Assume that P(A)>0,  P(AB)>0 and P(ABC)>0. Then:

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Proof:

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Example: Two dice are rolled. What is the  probability that at least one is a six? If the  two faces are different, what is the  probability that at least one is a six?

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Unformatted text preview: • Venn diagram: • Proof: • Tree diagrams • These are useful in giving a visual representation of conditional probabilities. • The tree diagram consists of Nodes and Branches. Where each branch represents a particular path that could be followed. • Example: • Problem 4.4.1 • Bayes Theorem:...
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