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Conditional Probability, Total Probability Theorem and ... - Berlin Chen

Conditional Probability, Total Probability Theorem and ... - Berlin Chen

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Multiplication (Chain) Rule: Examples (2/2)• Example 1.11. A class consisting of 4 graduate <strong>and</strong> 12undergraduate students is r<strong>and</strong>omly divided into 4 groups of 4. Whatis the probability that each group includes a graduate student?AAAP123graduate students1<strong>and</strong> 2 are at different groupsgraduate students1,2,graduate students1,2,APA A A PAPAA PAA A 312PA1158PA2A1144PA3A1 A21312 8 4PA3 15 14 131231<strong>and</strong> 3 are at different groups3, <strong>and</strong> 4 are at different groups213112284<strong>Probability</strong>-<strong>Berlin</strong> <strong>Chen</strong> 13

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