Suppose That an Experiment Has Five Sample Points $E _ { 1 } , E _ { 2 } , E _ { 3 } , E _ { 4 } , E _ { 5 }$

question 159

Essay

Suppose that an experiment has five sample points, $E _ { 1 } , E _ { 2 } , E _ { 3 } , E _ { 4 } , E _ { 5 }$ , and that $P \left( E _ { 1 } \right) = .4$ , $P \left( E _ { 2 } \right) = .1 , P \left( E _ { 3 } \right) = .1 , P \left( E _ { 4 } \right) = .2$ , and $P \left( E _ { 5 } \right) = .2$ . If the events $A$ and $B$ are defined as $A = \left\{ E _ { 1 } , E _ { 2 } , E _ { 5 } \right\}$ and $B = \left\{ E _ { 2 } , E _ { 3 } , E _ { 5 } \right\}$ find $P ( A \cup B )$ .

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