Question

Patrick places a cloth with the design as shown in the below figure on a table. ABCD is a square of side 28 cm. Four circles are drawn (with centers as A, B, C and D) such that each circle touches extermally two of the remaining three circles. If Patrick tosses a coin and it is certain that the coin will fall in the region ABCD, then what is the probability that it will fall on the shaded region? (Use pi=22/7)

A) 3/14
B) 11/14
C) 3/47
D) 3/11
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Answer 1

Here, Sample space = Area of square ABCD (because it is certain that coin

          will fall in AB) = 28² cm² 784

          Event = Area of shaded region = 28² - π(14²) = 168

So, Required probability = (168 / 784) = (3 / 14)

This question basically involves concept of conditional probability.

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