Mr. $A$ has $6$ children and at least one child is a girl. What is the probability that Mr. $A$ has $3$ boys and $3$ girls?

$A$ fair die is thrown at random. Let $A$ be the event that the number obtained on the die is a non-even prime number and $B$ be the event that the number obtained on the die is an odd number. Let $p : P(A) = \frac{1}{3}$; $q : A$ and $B$ are independent events. Then the truth values of statements $p$ and $q$ respectively are.....

If from each of the three boxes containing $3$ white and $1$ black,$2$ white and $2$ black,and $1$ white and $3$ black balls,one ball is drawn at random,then the probability that $2$ white and $1$ black ball will be drawn is

$A$ die is thrown. Find the probability of the following event: $A$ number more than $6$ will appear.

Events $E$ and $F$ are such that $P(\text{not } E \text{ and not } F) = 0.25$. State whether $E$ and $F$ are mutually exclusive.

$A$ card is drawn at random from a pack of $100$ cards numbered $1$ to $100$. The probability of drawing a number which is a perfect square is