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Section1Notes

# Section1Notes - OR360 Section 1 Notes Probability Review 1...

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OR360 Section 1 Notes Probability Review 1 General Homework policies: One problem set will be posted on Friday each week, due the next Friday at 4:00pm in the box on the second floor of Rhodes Hall. No late submissions will be accepted, for any reason. In exchange, the two lowest grades will be dropped. Please write the weekday of your section on the homework – it will be returned to you in section once it is graded. Two prelims, on Oct 5 and Nov 4, Final on Dec 14. 2 Events Sample space Ω, and probability measure P . Examples: for the experiment of throwing a coin twice, Ω = { HH, HT, TH, TT } , corre- sponding probability P . Denote events in the sample space as A, B , etc. Event is the event that nothing happens. Denote by A the complement of A , that is the event that A does not occur. Definition : A and B are mutually exclusive (or disjoint) if A B = , so P { A B } = 0. Basic rules of probability 0 P { A } ≤ 1. P { Ω } = 1 For disjoint events, P { A B } = P { A } + P { B } .

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Section1Notes - OR360 Section 1 Notes Probability Review 1...

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