Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :
$\frac{2}{7}$
$\frac{1}{18}$
$\frac{1}{7}$
$\frac{1}{9}$
Three numbers are chosen at random from $1$ to $15$ . The probability that no two numbers are consecutive, is
Let $X$ be a set containing $10$ elements and $P(X)$ be its power set. If $A$ and $B$ are picked up at random from $P(X),$ with replacement, then the probability that $A$ and $B$ have equal number elements, is
Let $S$ be the sample space of all five digit numbers.If $p$ is the probability that a randomly selected number from $S$, is a multiple of $7$ but not divisible by $5$ , then $9\,p$ is equal to.
Four boys and three girls stand in a queue for an interview, probability that they will in alternate position is
If a leap year is selected at random, what is the change that it will contain $53$ Tuesdays ?