A bag contains $100$ identical marble stones which are numbered from $1$ to $100$. If one stone is drawn at random from the bag, find the probability that it bears a number divisible by 4.

A bag contains $100$ identical marble stones which are numbered from $1$ to $100$. If one stone is drawn at random from the bag, find the probability that it bears a number divisible by 5.

A bag contains $100$ identical marble stones which are numbered from $1$ to $100$. If one stone is drawn at random from the bag, find the probability that it bears a number divisible by 4 or 5.

A bag contains $100$ identical marble stones which are numbered from $1$ to $100$. If one stone is drawn at random from the bag, find the probability that it bears a number divisible by 4 and 5.

A circle with diameter$20\mathrm{cm}$ is drawn somewhere on a rectangular piece of paper with length$40\mathrm{cm}$ and width$30\mathrm{cm}$. This paper is kept horizontal on table top and a dice, very small in size, is dropped on the rectangular paper without seeing towards it. If the dice falls and lands on the paper only, find the probability that it will fall and land inside the circle. [Use, $\mathrm{\pi }=\frac{22}{7}$]

A circle with diameter$20\mathrm{cm}$ is drawn somewhere on a rectangular piece of paper with length$40\mathrm{cm}$ and width$30\mathrm{cm}$. This paper is kept horizontal on table top and a dice, very small in size, is dropped on the rectangular paper without seeing towards it. If the dice falls and lands on the paper only, find the probability that it will fall and land outside the circle.

Two dice (each bearing numbers $1$to $6$) are rolled together. Find the probability that the sum of the numbers on the uppermost faces of two dice is $4$ or $5$.

Two dice (each bearing numbers $1$to $6$) are rolled together. Find the probability that the sum of the numbers on the uppermost faces of two dice is $7, 8$ or $9.$

Two dice (each bearing numbers $1$to $6$) are rolled together. Find the probability that the sum of the numbers on the uppermost faces of two dice is between $5$ and $8$.