$A$ committee of $5$ members is to be formed from $6$ men and $4$ women. What is the probability that the committee contains at least one woman?

$A$ poker hand consists of $5$ cards drawn at random from a well-shuffled pack of $52$ cards. The probability that a poker hand consists of a pair and a triple of equal face values (for example,$2$ sevens and $3$ kings or $2$ aces and $3$ queens,etc.) is:

Two numbers are selected at random from $40$ consecutive natural numbers. What is the probability that the sum of the numbers is odd?

If the letters of the word $SUCCESS$ are rearranged,what is the probability that all identical letters come together (in $/35$)?

Four numbers are chosen at random from $\{1, 2, 3, \ldots, 40\}$. The probability that they are not consecutive is:

Five numbers $x_{1}, x_{2}, x_{3}, x_{4}, x_{5}$ are randomly selected from the numbers $1, 2, 3, \ldots, 18$ and are arranged in increasing order $(x_{1} < x_{2} < x_{3} < x_{4} < x_{5})$. The probability that $x_{2} = 7$ and $x_{4} = 11$ is