Probability — Class 10 Mathematics (Standard) PYQs

A card is drawn at random from a well shuffled deck of $52$ playing cards. The probability that it is either a ten or a king is

Meena calculates that the probability of her winning the first prize in a lottery is $0.08$. If total $800$ tickets were sold, the number of tickets bought by her, is

Which of the following can not be the probability of an event ?

Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x > y$, is

A bag contains $25$ balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $\frac{3}{5}$, then find the number of yellow balls.

A card is selected at random from a deck of $52$ playing cards. The probability of it being a red face card is :

Assertion (A) : The probability of selecting a number at random from the numbers $1$ to $20$ is $1$.
Reason (R): For any event $E$, if $P(E) = 1$, then $E$ is called a sure event.

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is $2$.

A card is drawn at random from a pack of $52$ cards. What is the probability that the card drawn is a spade or a king ?

Two dice are rolled together. Find the probability of getting :
(i) a multiple of $2$ on one and a multiple of $3$ on the other die.
(ii) the product of two numbers on the top of the two dice is a perfect square number.