Two unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of numbers on two dice is smaller than $13$?

Apoorv throws two dice once and computes the product of the numbers appearing on the dice. Peehu throws one die and squares the number that appears on it. Who has the better chance of getting the number $36$? Why?

$A$ card is selected at random from a well-shuffled pack of $52$ cards. Find the probability that the selected card is a seven.

$A$ coin is tossed two times. Find the probability of getting at most one head.

$A$ lot consists of $48$ mobile phones of which $42$ are good,$3$ have only minor defects,and $3$ have major defects. Varnika will buy a phone if it is good,but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is
$(i)$ acceptable to Varnika?
$(ii)$ acceptable to the trader?

Two balanced dice are rolled simultaneously. Then,the probability that the numbers appearing on both the dice are different is ........