Ten students are seated at random in a row. The probability that two particular students are not seated side by side is

Two coins are tossed. Let $A$ be the event that the first coin shows head and $B$ be the event that the second coin shows a tail. The two events $A$ and $B$ are:

$A$ determinant is chosen at random from the set of all determinants of order $2$ with elements $0$ or $1$ only. The probability that the determinant chosen is non-zero is

From the word $POSSESSIVE$, a letter is chosen at random. The probability of it being $S$ is:

$A$ husband and wife appear in an interview for $2$ vacancies in the same post. The probability of husband's selection is $\frac{1}{7}$ and that of wife's is $\frac{1}{5}$. What is the probability that none of them will be selected?

$A$ coin is tossed $4$ times. The probability that at least one head turns up is