NCERT Solutions for Class 10 Maths Chapter 15 Probability Exercise 15.2

CBSE X Related Questions

  • 1.
    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 \(E\).

      • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
      • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
      • Assertion (A) is true, but Reason (R) is false.
      • Assertion (A) is false, but Reason (R) is true.

    • 2.
      Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.


        • 3.
          A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

            • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
            • \(314\) \(\text{cm}^{2}\)
            • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
            • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)

          • 4.
            An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

              • \(1 : 8\)
              • \(1 : 2\)
              • \(1 : 1\)
              • \(2 : 1\)

            • 5.
              Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)


                • 6.
                  The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

                    Comments


                    No Comments To Show