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Suppose That an Experiment Has Five Sample Points E1,E2,E3,E4,E5E _ { 1 } , E _ { 2 } , E _ { 3 } , E _ { 4 } , E _ { 5 }

Question 117

Essay

Suppose that an experiment has five sample points, E1,E2,E3,E4,E5E _ { 1 } , E _ { 2 } , E _ { 3 } , E _ { 4 } , E _ { 5 } , and that P(E1)=.2P \left( E _ { 1 } \right) = .2 , P(E2)=.3,P(E3)=.1,P(E4)=.1P \left( E _ { 2 } \right) = .3 , P \left( E _ { 3 } \right) = .1 , P \left( E _ { 4 } \right) = .1 , and P(E5)=.3P \left( E _ { 5 } \right) = .3 . If the events AA and BB are defined as A={E1,E2,E3}A = \left\{ E _ { 1 } , E _ { 2 } , E _ { 3 } \right\} and B={E2,E3,E4}B = \left\{ E _ { 2 } , E _ { 3 } , E _ { 4 } \right\} find P(AB)P ( A \cap B ) .

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