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A Box Contains 1 Red and 3 Identical White Balls. Two Balls Are Drawn at Random in Succession Without Replacement. Write the Sample Space for this Experiment.

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Question

A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

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Solution

It is given that the box contains 1 red ball and 3 identical white balls. Let us denote the red ball with R and a white ball with W.

When two balls are drawn at random in succession without replacement, the sample space is given by

S = {RW, WR, WW}

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