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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: probability challange
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raman_shadow (754)

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solve this question for a salute
a circle is drawn passing through three different points.
find the probability that all of them lie in the same semicircle.

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taruntanuj007 (247)

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the question is very good but wat comes to my mind is sunfink very stupid but logical...............the case when 3 points lie on the  same semicircle the triangle has to be scalene or at the most right angles since angle ina semicircle is a right angle now how do i find the probability of this.................

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aysh (673)

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let the first point be selected anywhere on the circle.
the chance that the second point lies in that semi-circle is 1/2.
similarly,
the chance that the third point lies in that semi-circle is 1/2.
hence, reqd. probability=1/2 x 1/2
=1/4.
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raman_shadow (754)

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sorry it is not correct

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vasanth (2315)

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hey aysh  there is a mistake in ur sol
 
the probability that the second point may lie on the semi circle is 1 and not 1/2
 
u can proceed now
 
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