NCERT Solutions for class 10 Maths chapter 15 Probability

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NCERT Solutions for class 10 Maths chapter 15 Probability are provided in this article. Some of the important topics in Probability chapter include:

  1. Probability Impossible Events
  2. Events in Probability
  3. Geometric Probability
  4. Probability- A Theoretical Approach

Expected no.of questions: 2 to 3 questions of total 5 marks

Download PDF: NCERT Solutions for Class 10 Mathematics Chapter 15 pdf


NCERT Solutions for Class 10 Mathematics Chapter 15

NCERT Solutions for Class 10 Mathematics Chapter 15 Probability is given below.

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Class 10 Mathematics Chapter 15 Probability – Important Topics

The three types of probabilities are theoretical probability, experimental probability, and axiomatic probability. The theoretical probability calculates the probability based on formulas and input values. The experimental probability gives a realistic value and is based on the experimental values for calculation. Quite often the theoretical and experimental probability differ in their results and the axiomatic probability is based on the axioms which govern the concepts of probability.

Formula for Probability:

P(E) = n(E) / n(S)

Formula for Theoretical Probability:

P(E) = Number of Favourable Outcomes / Number of Total Outcomes

Formula for Experimental Probability:

P(E) = Number of Favourable Outcomes / Total number of times experiment is done

Rules of Probability:

  • Probability of an impossible event is null.
  • Maximum Probability of any event can be its total number of possible outcomes.
  • Probability exists between 0 and 1. The probability can be zero also.
  • Probability cannot be negative.
  • Probability of A or Probability of B is addition of probability of A and the probability of B.

NCERT Solutions for Class 10 Maths Chapter 15 Exercises

NCERT Solutions for Class 10 Mathematics Chapter 15 Probability Exercises are given below.

Chapter Related Articles:

Maths Related Articles:

CBSE X Related Questions

  • 1.
    Determine the ratio in which the line \(2x + y = 6\) divides the line segment joining the points (1, 3) and (2, 5).


      • 2.
        Seema daily goes to a park to exercise on machines available there. When Seema spent 15 minutes on exercise bicycle and 30 minutes on double cross walker, she received a message of burning 435 calories on her fitness watch. When she spent 30 minutes on exercise bicycle and 40 minutes on double cross walker, she received a message of burning 690 calories. Based on above information, answer the following questions:

        38(i) Represent the above situation in terms of a pair of linear equations in two variables.


          • 3.
            If 14th term of an A.P. is 4 and its 15th term is zero, then its first term is

              • –48
              • –56
              • 56
              • 48

            • 4.
              In the given figure, two triangles ABC and PQR are shown such that \(\angle A = \angle P\) and \(\angle C = \angle R\). If \(AD \perp BC\) and \(PS \perp QR\), then prove that (i) \(\Delta ADB \sim \Delta PSQ\) (ii) \(AD \times QS = BD \times PS\).


                • 5.
                  In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions:

                  37(i) Find \(m\angle AOP\).


                    • 6.
                      \(17 \times 11 \times 13 + 11\) is

                        • a prime number.
                        • multiple of 17.
                        • a composite number.
                        • an odd number.

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