Shown below is a square dart board with circular rings inside.

Find the probability that a dart thrown at random lands on the shaded area. Show your steps.

A number was selected at random from $1 \mathrm{to} 100$ (inclusive of both numbers) and it was found to be a multiple of $10$.

What is the probability that the selected number is a multiple of $5?$

At a party, there is one last pizza slice and two people who want it. To decide who gets the last slice, two fair six-sided dice are rolled. If the largest number in the roll is:

• $1, 3 \mathrm{or} 6$, Ananya would get the last slice, and 
• $2, 4 \mathrm{or} 5$, Pranit would get it.

In a random roll of dice, who has a higher chance of getting the last pizza slice?

(Note: If the number on both the dice is same, then consider that number as the larger number.)

In a cards game, there are ten cards, $1$ to $10$. Two players, seated facing each other, randomly choose $5$ cards each. They arrange their cards in ascending order of the number on the card as shown below.

The difference between the corresponding cards is calculated such that the lower value is subtracted from the higher value.

In a random game, what is the probability that the sum of the differences is $24$?

A die is numbered in such a way that its faces show the numbers $1,2,2,3,3,6$. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:

What is the probability that the total score is at least $6$?

The probability of a sure event is _____.