A bag contains 4 identical red balls and 3 identical black balls. The experiment consists of drawing one ball, then putting it into the bag and again drawing a ball. What are the possible outcomes of the experiment?

Given: A bag contains 4 identical red balls and 3 identical black balls.


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


Explanation: A bag contains 4 red balls and 3 black balls.


Let us Assume Red = R


Let us Assume Black = B


Now, A ball is drawn in first attempt, So elementary events is


S1={R, B}


And, The bag will put into the bag and draw again, then elementary events are


S2={R, B}


Thus, The total sample space associated is S=S1S2


S={RR, RB, BR, BB}


Hence, S is the sample space for given experiment.


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