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Unformatted text preview: A is 1 / 36 times the number of elements in A . In both these cases, we assume that each number on each die is equally likely. We might have a loaded die, where P ( { 1 } ) = . 10, P ( { 2 } ) = . 15, etc. We do want something to happen, so P () = 1 and P ( ) = 0. The collection of events have to be what is called a eld. A collection F subsets of is a eld if , F , A c F whenever A F , and i =1 A i and i =1 A i are in F whenever all the A i are in F . A probability is a function on the events such that (1) 0 P ( A ) 1 for each event A . (2) P () = 1 and P ( ) = 0. (3) If A and B are disjoint, which means A B = , then P ( A B ) = P ( A ) + P ( B ) . 1...
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This note was uploaded on 12/29/2011 for the course MATH 316 taught by Professor Ansan during the Spring '10 term at SUNY Stony Brook.
 Spring '10
 ansan
 Sets, Probability

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