If three dice are thrown,then the probability that the sum of the numbers on the uppermost faces is at least $5$ is:

From a month of $31$ days, $3$ different dates are selected at random. If the probability that these dates are in an increasing $A$.$P$. is equal to $\frac{a}{b}$, where $a, b \in N$ and $\text{gcd}(a, b) = 1$, then $a + b$ is equal to ————

$A$ bag contains $3$ red,$4$ white,and $5$ black balls. If three balls are drawn at random,what is the probability that they are of different colors?

From a pack of $52$ cards,$3$ cards are drawn at random. Then,the probability that one is an ace,one is a queen,and one is a jack is

$A$ committee of $9$ experts is formed from three organizations $A$,$B$,and $C$,consisting of $2$ from $A$,$3$ from $B$,and $4$ from $C$. If three experts resign,find the probability that they belong to different organizations.

Three squares of a chessboard are selected at random. The probability of selecting two squares of one colour and the other of a different colour is equal to