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Question

A coin is tossed and then a die is rolled only in case a head is shown on the coin. Describe the sample space for this experiment. 


Solution

When a coin is tossed either head or tail will turn up. And, when head turns up then a dice is rolled otherwise not. 

So, the total number of elementary events associated with this experiment is 
1+6×1=7

Thus, the sample space will be 

S= {T, (H, 1), (H,2) (H,3) (H,4) (H, 5), (H, 6)} 

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