Question

Let A and B be two events for which P(A) = a, P(B) = b, $P\left(A\cap B\right)=c,\mathrm{then}P(\overline{A}\cap B)$ = __________________.

Answer 1

For two events A and B P(A) = a, P(B) = b, $P\left(A\cap B\right)=c$

Since $P\left(\overline{A}\cap B\right)=P\left(B\right)-P\left(A\cap B\right)$

i.e $P\left(\overline{A}\cap B\right)=b-c$