a) $P(A \cup B) = P(A)+P(B)-P(A \cap B) = 0.4+0.5-0.2=0.7$
$P(A/B) = \fracP(A \cap B)P(B) =\frac0.20.5=0.4$
$P(B/A^c) = \fracP(B \cap A^c)P(A^c) =\fracP(B)-P(B \cap A)P(A^c)=\frac0.5-0.20.6=0.5$
b) $P(A \cap B)=0.2 \neq 0 $ por tanto son compatibles
c) $P(A \cap B)=0.2$ y $P(A) \cdot (…)