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.
    Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


      • 2.
        In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.


          • 3.
            A kite is flying at a height of \(60 \text{ m}\) above the ground level. Ravi, standing at the roof of the house is holding the string straight and observes the angle of elevation of kite as \(30^{\circ}\). From the bottom of the same building, the angle of elevation of kite is \(45^{\circ}\). Find the length of the string and height of roof from the ground. (Use \(\sqrt{3} = 1.73\))


              • 4.
                \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

                  • \(\frac{21}{4} \text{ cm}\)
                  • \(\frac{28}{3} \text{ cm}\)
                  • \(\frac{12}{7} \text{ cm}\)
                  • \(5.5 \text{ cm}\)

                • 5.
                  Prove that :
                  \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).


                    • 6.
                      Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

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