If $4\,P(A) = 6\,P(B) = 10\,P(A \cap B) = 1$,then $P\left( \frac{B}{A} \right) = \dots$

If $E$ and $F$ are two independent events with $P(E)=0.3$ and $P(E \cup F)=0.5$, then $P(E|F)-P(F|E)$ equals

$A$ couple has two children. Find the probability that both children are females,if it is known that the elder child is a female.

If two dice are rolled, then the probability of getting a multiple of $3$ as the sum of the numbers appeared on the top faces of the dice, given that their sum is an odd number, is

Find $P(E | F)$ when two coins are tossed once,where $E$ is the event that no tail appears and $F$ is the event that no head appears.

If two events $A$ and $B$ are such that $P(\overline{A}) = 0.3$,$P(B) = 0.4$,and $P(A \cap \overline{B}) = 0.5$,then $P(B | (A \cup \overline{B})) = $