If $P(A)=0.65\: P(B)=0.80$ then $P(A \cap B)$ lies in the interval

Question

$\begin {array} {1 1} (A)\;[.30,80] & \quad (B)\;[0.35, 0.75] \\ (C)\;[0.4, 70] & \quad (D)\;[ 0.45, 0.65] \end {array}$