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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The Answer of 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 $P ( A \cup B )$.

Suppose That an Experiment Has Five Sample Points E1,E2,E3,E4,E5E _ { 1 } , E _ { 2 } , E _ { 3 } , E _ { 4 } , E _ { 5 }E1​,E2​,E3​,E4​,E5​

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