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Question

If given a dart board of radius 50 cm. What is the probability that you hit the bull's eye of radius 5 cm?


A

1100

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B

110

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C

1

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D

11000

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Solution

The correct option is A

1100


Area of board = π × 502 = 2500 π

Area of bull's eye = π × 52 = 25 π

Since we are dealing in areas, we will use the concept of Geometric Probability.

The probability of hitting the bull's eye= Area of required regionTotal area = 25π2500π = = 1100


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