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.

Given: A bag contains one white and one red ball.


To Find: Write the sample space for the given experiment.


Explanation: Here, There are 1 white ball , 1 red ball in a bag


Let us denote White ball with W and Red Ball with W


According to question, when one ball is drawn, it may be a white or Red.


So, The sample space of drawing on white ball with replacement


Sw={(W, W), (W, R)}


Again, If red ball is drawn , a dice is rolled


So, The sample space for red ball with dice


SR={(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6)}


Thus, The required sample space for the experiment is:


S=SW SR


So, S= {(W, W), (W, R), (R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6)}


Hence, This is the sample space for given experiment


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