Krishna
0

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

GIVEN: length = 3m

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

Diameter = 1 m

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}