The probability that a point is chosen at random will lie in the shaded area will be 0.32.
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Here favorable outcomes will be the shaded portion and the total outcome will be the total circular portion.
Favorable Outcome = Area of shaded portion = 1/2 x 18 x 18/2
= 81 inch sq.
Total Outcome = Total area = 81 π inch sq.
Probability, P(E) = 81/ 81 π = 1/32
Hence, the probability that a point chosen at random will lie in the shaded area is 0.32.
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