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CBSE Class 10 · Boards 2027 · NCERT 2026-27 syllabus

NCERT Solutions Class 10 Maths Chapter 14 Probability

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  • Boards begin February 2027
  • Pre-boards are in December
  • Probability is in Statistics and Probability, which carries 11 of the 80 marks in the 2026-27 CBSE Maths paper

14 NCERT textbook questions from Chapter 14

Exercise 14.1

NCERT Ex 14.1 Q41 mark
Which of the following CANNOT be the probability of an event?
NCERT Ex 14.1 Q13(iii)1 mark
A die is thrown once. The probability of getting an odd number is
NCERT Ex 14.1 Q62 marks
A bag contains only lemon-flavoured candies. Malini takes out one candy without looking. Find the probability that she takes out (i) an orange-flavoured candy, (ii) a lemon-flavoured candy.
NCERT Ex 14.1 Q82 marks
A bag contains 3 red balls and 5 black balls. A ball is drawn at random. Find the probability that the ball drawn is (i) red, (ii) not red.
NCERT Ex 14.1 Q32 marks
Why is tossing a coin considered a fair way of deciding which team should get the ball at the beginning of a football game?
NCERT Ex 14.1 Q93 marks
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is drawn at random. What is the probability that the marble drawn is (i) red, (ii) white, (iii) not green?
NCERT Ex 14.1 Q103 marks
A piggy bank contains hundred 50p coins, fifty ₹1 coins, twenty ₹2 coins and ten ₹5 coins. One coin falls out at random. Find the probability that the coin (i) is a 50p coin, (ii) is not a ₹5 coin.
NCERT Ex 14.1 Q14(i,ii,iii)3 marks
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting (i) a king of red colour, (ii) a face card, (iii) a red face card.
NCERT Ex 14.1 Q183 marks
A box contains 90 discs numbered 1 to 90. If one disc is drawn at random, find the probability that it bears (i) a two-digit number, (ii) a perfect square, (iii) a number divisible by 5.
NCERT Ex 14.1 Q163 marks
12 defective pens are accidentally mixed with 132 good ones. One pen is taken out at random. Find the probability that the pen taken out is a good one.

Examples and more questions

NCERT Example 13(i)1 mark
Two dice (one blue and one grey) are thrown simultaneously. The probability that the sum of the two numbers appearing on top is 8 equals
NCERT Example 91 mark
Two coins are tossed simultaneously. The probability of getting at least one head is

CBSE board pattern: Assertion-Reason and case-based questions

Written in the CBSE board format. These are not numbered NCERT/Exemplar questions; some case studies are built on textbook problems. Neither NCERT book has Assertion-Reason questions: they, and case-based questions, are a CBSE board-paper format, here on this chapter's 2026-27 syllabus, with solutions by LazyTopper.

CBSE board pattern · Assertion-Reason1 mark
Assertion (A): If the probability of an event is 2/3, then the probability of its complement is 1/3. Reason (R): For any event E, P(E) + P(not E) = 1.

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Questions from the NCERT Class 10 Mathematics textbook (the CBSE board-pattern section is in the board format, not numbered book questions); the solutions are written by LazyTopper. LazyTopper is an independent platform and is not affiliated with CBSE or NCERT.

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