Two balanced dice are rolled. Find the probability that the sum of numbers on two dice is a multiple of $5$.

$12$ defective ballpens are mixed with $132$ non-defective ballpens. They all look alike. $A$ ballpen is selected at random from that lot. Find the probability that a defective ballpen is selected.

An unbiased coin is tossed thrice. Then,the number of total outcomes is ............

$A$ 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 unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of the numbers on the two dice is a multiple of $3$ and $4$?

Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is
$(i) \, 6$
$(ii) \, 12$
$(iii) \, 7$