Question

If A and B are two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P($A\mathit{\cap }B$) = 0.1, then of P($A\cap \overline{B}$) =_______________.

Answer 1

for two events,
Given P(A) = 0.3
P(B) = 0.2
and P(A∩B) = 0.1
Since P$\left(A\cap \overline{B}\right)$ = P(A∪B) – P(B)
= P(A) + P(B) – P(A∩B) −P(B)
= P(A) – P(A∩B)
= 0.3 – 0.1
i.e P$\left(A\cap \overline{B}\right)$ = 0.2