Three $6$-faced dice are thrown together. The probability that no two dice show the same number on them is

One ticket is selected at random from $100$ tickets numbered $00, 01, 02, \dots, 98, 99$. If $X$ and $Y$ denote the sum and the product of the digits on the tickets respectively,then $P(X = 9 | Y = 0)$ equals:

The probabilities that a student will receive an $A$, $B$, $C$, or $D$ grade are $0.30$, $0.38$, $0.22$, and $0.01$ respectively. What is the probability that the student will receive at least $B$ grade?

$5$ persons $A, B, C, D$ and $E$ are in a queue at a shop. The probability that $A$ and $E$ are always together is:

$A$ positive integer is selected at random and is divided by $9$. What is the probability that the remainder is equal to $1$ (in $/9$)?

While dialing a telephone number,an old man forgets the last two digits,remembering only that they are different. If he dials the last two digits at random,what is the probability that the number is dialed correctly?