Four married couples have gathered in a room. Two persons are selected at random from amongst them. Find the probability that the selected persons are a husband and his wife.

[correct the answer to two decimal places]

Four married couples have gathered in a room. Two persons are selected at random from amongst them. Find the probability that the selected persons are a gentleman and a lady but not a couple.

[correct the answer to two decimal places]

A bag contains $6$ red balls, $5$ white balls and $4$ black balls. Two balls are drawn. Find the probability that none of them is red.

[correct the answer to two decimal places]

Six boys and six girls sit in a row randomly. Find the probability that the six girls sit together.

[Enter your answer in the form $\frac{a}{b}$]

A number of $4$ different digits is formed by using $1,2,3,4,5,6,7.$ Find the probability that it is divisible by $5$.

[Correct the answer to two decimal places]

Out of $9$ outstanding students in a college there are $4$ boys and $5$ girls. A team of four students is to be selected for a quiz programme. Find the probability that two are boys and two are girls.

[Correct the answer to two decimal places]

The letters of the word $\mathrm{EQUATION}$ are arranged in a row. Find the probability that all vowels are together.

[Correct the answer to two decimal places]