$A$ 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?

$A$ bag contains $5$ blue and an unknown number $x$ of red balls. Two balls are drawn at random. If the probability of both of them being blue is $\frac{5}{14}$,then the value of $x$ is equal to

$A$ 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

Two numbers are chosen at random from $\{1, 2, 3, 4, 5, 6, 7, 8\}$ at a time. The probability that the smaller of the two numbers is less than $4$ is

If all the letters of the word $MISSISSIPPI$ are rearranged,what is the probability that all $S$ come together?

Out of $30$ consecutive numbers,$2$ are chosen at random. The probability that their sum is odd,is