Two balanced dice are rolled. Find the probability that the sum of numbers on two dice is greater than $8$. (in $/18$)

An unbiased coin is tossed thrice. Find the probability of the following event:
$C:$ at most $2$ heads are received. (in $/8$)

$A$ balanced die is rolled twice. Then,the probability of the event that the sum of the numbers received in two trials is more than $10$ is ...........

$A$ balanced die is rolled twice. Then,the probability of the sum of numbers received in these two trials being even is ...........

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability that the card drawn is not of Diamonds is ..............

If $P(A) : P(\bar{A}) = 3 : 2$,then $P(A) = \dots$