$A$ bag contains tickets numbered from $1$ to $20$. Two tickets are drawn. The probability that both the numbers are prime,is

In a certain lottery,$10,000$ tickets are sold and $10$ equal prizes are awarded. What is the probability of not getting a prize if you buy $10$ tickets?

If a die is rolled three times,then the probability of getting a larger number on its face than the previous number each time is:

What is the probability that a number formed using all the digits $1, 2, 3, 4, 5$ is divisible by $4$?

From out of $100$ enrolled students,two sections of strength $40$ and $60$ are formed. If you and your friend are among those $100$ students,then the probability that both of you are placed in the same section is

Out of the first $5$ consecutive natural numbers,if two different numbers $x$ and $y$ are chosen at random,then the probability that $x^4 - y^4$ is divisible by $5$ is