List of top Mathematics Questions on Probability asked in CBSE Class X

A bag contains 30 balls out of which 'm' number of balls are blue in colour.
(i) Find the probability that a ball drawn at random from the bag is not blue.
(ii) If 6 more blue balls are added in the bag, then the probability of drawing a blue ball will be \(\frac{5}{4}\) times the probability of drawing a blue ball in the first case. Find the value of m.
Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5.
Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).
Two different dice are thrown together. Find the probability that the numbers obtained have : (i) even sum, (ii) even product.
Two different dice are rolled together. The probability that both the obtained numbers are less than 4, 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 \(3/5\), then find the number of yellow balls.
The probability for a randomly selected number out of 1, 2, 3, 4, ..., 25 to be a composite number is :
Two dice are thrown at the same time. Determine the probability that the sum of the numbers on the two dice is 5.
Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 3.
A die is thrown once. Probability of getting a number other than 3 is :
Assertion (A) : The probability that a leap year has 53 Mondays is \(\frac{2}{7}\).
Reason (R) : The probability that a non-leap year has 53 Mondays is \(\frac{5}{7}\).
Two dice of different colours are thrown at the same time. Write down all the possible outcomes. What is the probability that :
(i) same number appears on both the dice?
(ii) different number appears on both the dice?
A die is thrown once. Probability of getting a number other than 3 is :
Assertion (A) : The probability that a leap year has 53 Mondays is \(\frac{2}{7}\).
Reason (R) : The probability that a non-leap year has 53 Mondays is \(\frac{5}{7}\).
Two different coins are tossed simultaneously. What is the probability of getting :
(i) at least one head ?
(ii) at most one tail ?
(iii) a head and a tail ?
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
A letter is selected from the letters of the word FEBRUARY. The probability that it is a vowel is :
Assertion (A): From a bag containing 5 red balls, 2 white balls and 3 green balls, the probability of drawing a non-white ball is \(\frac{4}{5}\).
Reason (R): For any event E, \(P(E) + P(\text{not } E) = 1\)
A box consists of 60 wall clocks, out of which 40 are good, 15 have minor defects and the remaining are broken. What is the probability that
(i) the box will be rejected?
(ii) the clock has minor defect?
Three coins are tossed together. The probability that at least one head comes up is
Two coins are tossed simultaneously. The probability of getting at least one head is

Directions: In Question Numbers 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option from the following:
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.

In an experiment of throwing a die,
Assertion (A): Event $E_1$: getting a number less than 3 and Event $E_2$: getting a number greater than 3 are complementary events.
Reason (R): If two events $E$ and $F$ are complementary events, then $P(E) + P(F) = 1$.

In an experiment of throwing a die, Assertion (A): Event \(E_1\): getting a number less than 3 and Event \(E_2\): getting a number greater than 3 are complementary events. Reason (R): If two events E and F are complementary events, then \(P(E) + P(F) = 1\).
Three coins are tossed together. The probability that exactly one coin shows head, is