If $A$ and $B$ are two independent events,then $P\left( \frac{A}{B} \right) = $

If $C$ and $D$ are two events such that $P(D) \neq 0$,then which of the following statements is correct?

When $2$ dice are thrown, it is observed that the sum of the numbers appearing on the top faces of both dice is a prime number. What is the probability that at least one of the numbers in the pair is a multiple of $3$?

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

An urn $A$ contains $3$ white and $5$ black balls. Another urn $B$ contains $6$ white and $8$ black balls. $A$ ball is picked from $A$ at random and then transferred to $B$. Then, a ball is picked at random from $B$. The probability that it is a white ball is

$A$ family has $3$ children. The probability that all the three children are girls,given that at least one of them is a girl is: