The probability that in a year of the $22^{nd}$ century chosen at random there will be $53$ Sundays is

$2$ dice are thrown. Find the odds in favour of getting the sum $5$.

The probability of getting a total of $5$ or $6$ in a single throw of $2$ dice is

$5$ boys and $5$ girls are sitting in a row randomly. The probability that boys and girls sit alternatively is

In a class,$30 \%$ of students passed English,$20 \%$ passed French and $10 \%$ passed both. If a student is selected at random,what is the probability that he has passed English or French?

Let $A$ and $B$ be two finite sets having $m$ and $n$ elements respectively such that $m \le n.$ $A$ mapping is selected at random from the set of all mappings from $A$ to $B$. The probability that the mapping selected is an injection is