## Applied Statistics and Probability for Engineers, 6th Edition

$0.22$
Using the rule of total probability for $2$ events, $P(A)=P(A\cap B)+P(A\cap B')\\=P(A|B)P(B)+P(A|B')P(B')\\=0.2\cdot0.8+0.3\cdot0.2\\=0.16+0.06=0.22$