Krishna
0

Step 1:  Observe the given figure and find the areas of the given shapes.

              GIVEN: length = 3m

                          breadth = 2m

                Area of the rectangular region = length * breadth = 3 * 2 = 6

                      

                          Diameter = 1 m

                          Radius = \frac{1}{2}

              Area of the circle = \pi r^2

                                          = \pi (\frac{1}{2})^2

                                          = \frac{\pi}{4} m^2

                                        

Step 2: Calculate the probability that the die will land inside the circle

            Total outcomes = Area of the rectangular region = 6

              Favorable outcomes = Area of the circle = \frac{\pi}{4}

        

            P(die will land inside the circle) = \frac{Favorable\ out\ comes}{Total\ outcomes}


                                                                  = \frac{ \frac{\pi}{4}}{6}


                                                                 = \frac{\pi}{4*6}


                                                                 = \frac{\pi}{24}


                       Hence, probability = \frac{\pi}{24}