A bag contains one white and one red ball. A ball is drawn from the ba

1.	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» 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 S_w={(W, W), (W, R)} Again, If red ball is drawn , a dice is rolled So, The sample space for red ball with dice S_R={(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6)} Thus, The required sample space for the experiment is: S=S_W∪ S_R 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

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»

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

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

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

So, The sample space for red ball with dice

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

Thus, The required sample space for the experiment is:

S=S_W∪ S_R

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