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Question

A glass contains 4 red balls, 3 white balls, 2 yellow balls, 20 black balls. We are drawing one ball at random from the jar. The number of elements in the set of sample space of the above experiment if the balls of same color are not identical is ––––––––___

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Solution

What is sample space? Set of all possible outcomes. Right? Here what we are doing is we are drawing one ball at random from the jar which contains 4 red, 3 white, 2 yellow and 20 black balls.
Now the ball I pick can be any of the yellow balls, any of the black balls, any of the red or white balls. It can be any of the 4 + 3 + 2 + 20 = 29 balls. Which means there are 29 possible outcomes and hence my set of sample space will contain 29 elements.

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