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

$A$ box contains $9$ tickets numbered $1$ to $9$ both inclusive. If $3$ tickets are drawn from the box one at a time without replacement,then the probability that they are alternatively either {odd,even,odd} or {even,odd,even} is

Three integers are chosen at random from the first $20$ integers. The probability that their product is even,is

Two persons $A$ and $B$ throw a pair of dice alternately until one of them gets the sum of the numbers appeared on the dice as $4$,and the person who gets this result first is declared as the winner. If $A$ starts the game,then the probability that $B$ wins the game is:

If six students,including two particular students $A$ and $B,$ stand in a row,then the probability that $A$ and $B$ are separated with one student in between them is

If the letters of the word "$ASSASSINATION$" are arranged at random in a row,then the probability that no two $A$'s come together is equal to