X has a given distribution.

Question

$X$ has a given distribution. For $E=\{X	ext{ prime}\}$, $F=\{X<4\}$, find $P(E\cup F)$.

Accepted Answer

Using the source's probabilities: $P(E)=0.23+0.12+0.20+0.07=0.62$; $P(F)=0.15+0.23+0.12=0.50$; $P(E\cap F)=0.23+0.12=0.35$.

$$P(E\cup F) = 0.62+0.50-0.35=0.77$$

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