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Question

A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.

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Solution

When a coin is tossed then S1={H,T} When the coin shows T then draw a ball from a box
S2={R1,R2,B1,B2,B3}
When the coins hows H then a die is thrown
Thus S={TR1,TR2,TB1,TB2,TB3,H1,H2,H3,H4,H5,H6}


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