Two dice are thrown. If first shows $5$, then the probability that the sum of the numbers appears on both is $8$ or more than $8$, is
$\frac{1}{{12}}$
$\frac{{11}}{{12}}$
$\frac{1}{3}$
$\frac{2}{3}$
A die has two faces each with number $^{\prime}1^{\prime}$ , three faces each with number $^{\prime}2^{\prime}$ and one face with number $^{\prime}3^{\prime}$. If die is rolled once, determine $P($ not $3)$
Three coins are tossed once. Find the probability of getting $3 $ heads
Three coins are tossed once. Find the probability of getting at most $2$ heads.
Three identical dice are rolled. The probability that same number will appear on each of them will be
$A$ and $B$ toss a coin alternatively, the first to show a head being the winner. If $A$ starts the game, the chance of his winning is