Question
Specify appropriate sample space. A boy has a 1 rupee coin, a 2 rupee coin and a 5 rupee coin in his pocket. He takes out two coins out of his pocket, one after the other.

Answer

Let P denotes a 1 rupee coin, Q denotes a 2 rupee coin and R denotes a 5 rupee coin.
The first coin he takes out of his pocket may be any one of the three coins P, Q or R.
Corresponding to P, the second draw may be Q or R. So the result of two draws may be PQ or PR.
Similarly, corresponding to Q, the second draw may be R or P.
Therefore, the outcomes may be QP or QR.
Lastly, corresponding to R, the second draw may be P or Q.
So, the outcomes may be RP or RQ.
Thus, after combining all of the above outcomes, the sample space is S = {PQ, PR, QR, QP, RP, RQ}

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