If A and B are mutually exclusive events, then

Since A and B are mutually exclusive events.

$∴ A ∩ B= \phi $

$⇒ A \subseteq \overline{B}$ and $B  \subseteq \overline{A}$

$P(A) ≤ P(\overline{B})$ and $P(B) ≤ P(\overline{A})$