Section1Notes

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

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Unformatted text preview: 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 – ≤ 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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