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.