In a certain lottery,$10,000$ tickets are sold and $10$ equal prizes are awarded. What is the probability of not getting a prize if you buy $10$ tickets?

Five persons enter a lift cabin in the cellar of a $7$-floor building (excluding the cellar). If each of them independently and with equal probability can leave the cabin at any floor out of the $7$ floors (beginning with the first),then the probability that all $5$ persons leave the cabin at different floors is:

$A$ bag contains $2$ red,$3$ green,and $2$ blue balls. Two balls are drawn at random. The probability that none of the balls drawn is blue is

If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member,what is the probability that you will be on the committee?

On her vacations,Veena visits four cities ($A, B, C$,and $D$) in a random order. What is the probability that she visits $A$ before $B$ and $B$ before $C$?

In a lottery,$50$ tickets are sold,in which $14$ are prize-winning tickets. If a man buys $2$ tickets,what is the probability that he wins at least one prize?