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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Probability
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nadeemoidu (1184)

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Olaaa!! Perrrfect answer. 200  [292 rates]

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T_T is right.
The answer is 0 and can be got by using pure common sense. It is quite obvious that a point chosen at random from a sphere cannot be exactly on the surface.

@hsbhatt
There is no density involved here.
the probability = favourable volume / total volume.

Favourable volume =area x height= 4r2 dr
But since dr is infinitely small , this quantity will be 0. dr can be assumed to be non-zero only when we are using integration.

Total volume = 4R3/3.
Since this is finite , the final answer will be 0.

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