What is the probability that the inclosed figure formed by joining three points choosen randomly on the circumference of the circle will contain the center of the circle?
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question :
- What is the probability that the inclosed figure formed by joining three points choosen randomly on the circumference of the circle will contain the center of the circle?
answer :
- the probability is 1/4 ..
consider the radius of circle as r, then the points closer to center than boundary will lie within the radius of r/2. So the favorable outcomes would be the points inside the area of circle with radius r/2, whereas the total possible outcomes would be all the points inside the area of circle with radius r.
thus the probability is 1/4 ..
- hope it helps
- sorry for some incomplete explanation
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