$A$ card is drawn at random from a pack of $100$ cards numbered $1$ to $100$. The probability of drawing a number which is a perfect square is

If two numbers $x$ and $y$ are chosen one after the other at random with replacement from the set of numbers $\{1, 2, 3, \ldots, 10\}$,then the probability that $|x^2 - y^2|$ is divisible by $6$ is

$A$ bag contains $9$ discs of which $4$ are red,$3$ are blue and $2$ are yellow. The discs are similar in shape and size. $A$ disc is drawn at random from the bag. Calculate the probability that it will be not blue.

One die and a coin (both unbiased) are tossed simultaneously. The probability of getting $5$ on the top of the die and tail on the coin is

Two dice are thrown together. The probability that the sum of the numbers is divisible by $2$ or $3$ is

$A$ coin is tossed. If it shows a tail,we draw a ball from a box which contains $2$ red and $3$ black balls. If it shows a head,we throw a die. Find the sample space for this experiment.