Probability
28 solved questions from Class 10 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 A box contains 4 green, 5 red, and 6 blue balls. Two balls are drawn successively without replacement. Find the probability that both balls drawn are of the same colour. hard 4 marks Dependent events (without replacement)
- 2 Two dice are thrown simultaneously. What is the probability that the sum of the numbers on the two dice is 7? medium MCQ 1 mark Probability of compound event (sum of dice)
- 3 Rohit tosses a fair coin two times. Find the probability that at least one toss results in a head. easy 2 marks Complementary probability
- 4 An urn contains 3 red, 5 blue, and 2 green marbles. A marble is drawn at random. What is the probability that the marble is red? easy MCQ 1 mark Simple probability
- 5 A bag contains 7 white balls and 3 black balls. One ball is drawn at random. Find the probability that the ball drawn is black. easy 1 mark Simple probability
- 6 Three fair coins are tossed simultaneously. Find the probability of getting at most two heads. medium 2 marks Sample space and probability of coin tosses
- 7 A card is drawn at random from a well-shuffled deck of 52 playing cards. What is the probability of getting a face card of black colour? easy MCQ 1 mark Probability of drawing specific cards
- 8 Cards marked with numbers 11, 12, 13,..., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the drawn card is a perfect square. medium 3 marks Probability with number cards
- 9 An ordinary (non-leap) year is selected at random. What is the probability that it contains 53 Sundays? medium 2 marks Probability related to calendar years
- 10 Two fair dice are thrown simultaneously. Find the probability that: (i) the product of the numbers appearing on the two dice is a prime number, and (ii) the numbers appearing on the two dice are different. hard 5 marks Probability with rolling two dice
- 11 What is the probability of getting a Head when a fair coin is tossed? medium MCQ Probability
- 12 Find the mean of the numbers: 2, 4, 6, 8, 10. medium MCQ Mean Calculation
- 13 Find the median of: 3, 7, 5, 9, 1. medium MCQ Median Calculation
- 14 What is the mode of data set: 4, 2, 4, 6, 4, 8, 2? medium MCQ Mode of Data
- 15 What is the probability of an impossible event? medium MCQ Probability Axioms
- 16 What is the sum of probabilities of all elementary events of an experiment? medium MCQ Probability Axioms
- 17 Find the class mark of class interval 10-20. medium MCQ Class Mark
- 18 A die is thrown once. Find the probability of getting an even number. medium MCQ Probability of Die
- 19 Range of a dataset is defined as: medium MCQ Range of Data
- 20 If P(E) = 0.05, what is the probability of 'not E'? medium MCQ Complementary Event
- 21 What is the domain, range, or fundamental theorem introduced in 'Probability' (Class 10 Mathematics)? medium MCQ Functions & Theorems
- 22 What is the derivative or integral formula associated with 'Probability'? medium MCQ Calculus & Formulae
- 23 How do you find the solution set or optimum value in 'Probability'? medium MCQ Problem Solving & Optimization
- 24 A box contains 2 red, 3 blue, and 5 green marbles. Two marbles are drawn successively with replacement. Find the probability that both drawn marbles are green. medium 2 marks Probability with replacement
- 25 In a class of 30 students, 14 like mathematics, 12 like physics, and 5 like both subjects. A student is selected at random. Find the probability that the student likes mathematics given that the student likes physics. medium 3 marks Conditional probability
- 26 A bag contains 5 red, 3 blue and 2 green marbles. One marble is drawn at random. Find the probability that the marble is not blue. easy 1 mark Complement rule
- 27 A box contains 10 cards: 4 hearts, 3 spades, 2 clubs and 1 diamond. Two cards are drawn successively without replacement. What is the probability that the first card is a heart and the second card is a club? hard MCQ 3 marks Conditional probability in sequential events
- 28 A fair coin is tossed 4 times. Find the probability of getting exactly two heads. medium 2 marks Binomial probability