A bag contains one white and one red ball. A ball is drawn from the bag. If the ball drawn is white it is replaced in the bag and again a ball is drawn. Otherwise, a die is tossed. Write the sample space for this experiment.

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#### Solution

A bag contains one white ball (*W*) and one red* *ball (*R*).

When one ball is drawn, it will be either *W *or* R.*

The sample space of drawing one white ball with replacement and then again drawing a ball is {(*W*,* W*),* *(*W, R*)}.

Again, if red ball is drawn, a dice is rolled.

The sample space associated with this experiment is given by {(*R, 1*)*, *(*R, 2*)*, *(*R, 3*)*, *(*R, 4*)*, *(*R, 5*)*, *(*R, 6*)}.

Hence, the sample space S for this experiment is *S = *{(*W, W*)*, *(*W, R*)*, *(*R, 1*)*, *(*R, 2*)*, *(*R, 3*)*, *(*R, 4*)*, *(*R, 5*)*, *(*R, 6*)}.

Concept: Random Experiments

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