$A$ balanced die is rolled twice. Then,the probability that the sum of numbers received in two trials is $12$ or less than $12$ is ...........

Two balanced dice are rolled. Find the probability that the sum of numbers on two dice is a multiple of $6$.

$12$ defective pens are accidentally mixed with $132$ good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.

$A$ piggy bank contains $100$ $50\, p$ coins,$50$ $Rs.\, 1$ coins,$20$ $Rs.\, 2$ coins,and $10$ $Rs.\, 5$ coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down,what is the probability that the coin:
$(i)$ will be a $50\, p$ coin?
$(ii)$ will not be a $Rs.\, 5$ coin?

Two balanced dice are rolled simultaneously. The probability that the product of numbers on two dice is even is ......

Chits numbered from $1$ to $120$ are put in a box and a chit is drawn randomly from the box. The probability that the chit drawn bears a $3$-digit number is ............