Three persons $A, B$,and $C$ are to speak at a function. If they speak in a random order,what is the probability that $A$ speaks before $B$ and $B$ speaks before $C$?

$A$ bag contains $5$ white,$7$ black,and $4$ red balls. If three balls are drawn at random from the bag,what is the probability that all three balls are white?

All the spades are taken out from a pack of cards. From these cards,cards are drawn one by one without replacement until the ace of spades comes. The probability that the ace of spades comes in the $4^{th}$ draw is

Four boys and three girls stand in a queue for an interview. What is the probability that they will be in alternate positions?

$A$ four-member committee is to be formed from a group containing $9$ men and $5$ women. If a committee is formed randomly,then the probability that it contains at least one woman is

What is the probability that a number formed using all the digits $1, 2, 3, 4, 5$ is divisible by $4$?