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.Find the sample space

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Please find below the solution to the asked query:

Let Q denote a 1 rupee coin, H 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 Q, H or R.Corresponding to Q, the second draw may be H or R. So the result of two draws may be QH or QR.Similarly, corresponding to H, the second draw may be Q or R. Therefore, the outcomes may beHQ or HR.Lastly, corresponding to R, the second draw may be H or Q. So, the outcomes may be RH or RQ.Hence, the sample space is S=QH, QR, HQ, HR, RH, RQ

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