For the events $A$ and $B$, $P(A)=0.6$, $P(B)=0.8$ and $P(A\cup B)=1$. Find $P(A\cap B)$

Question

For the events $A$ and $B$, $P(A)=0.6$, $P(B)=0.8$ and $P(A\cup B)=1$. Find $P(A\cap B)$. Find $P(A\prime\cup B\prime)$.

Accepted Answer

By De Morgan's law, $P(A'\cup B')=1-P(A\cap B)=0.6$.

Calculate an intersection and a complement using two-event identities.