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3. Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Lecture Notes ? MAP 5601 map5601LecNotes.tex i 8/27/2003
1. Finite Probability Spaces
The toss of a coin or the roll of a die results in a finite number of possible outcomes.
We represent these outcomes by a set of outcomes called a sample space. For a coin we
might denote this sample space by {H, T} and for the die {1, 2, 3, 4, 5, 6}. More generally
any convenient symbols may be used to represent outcomes...

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