Question

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.

Answer 1

When one ball is drawl then it will be either white (W) or red (R)

Now, if white ball is drawn then it is replaced and a ball is drawn

$\therefore S\supset$ {(W, W), (W, R)}

Also, ifred ball is drawn then a die is rolled

$\therefore S\supset$ {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R , 6)}

$\therefore$ The sample space is
S = {(W, W), (W, R), (R, 1),(R, 2), (R, 3), (R, 4), (R, 5), (R, 6)}