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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
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When coin is tossed, either we get head or tail.

Lets head be denoted by $$H$$ and tail denoted by $$T$$.

According to a question when head is shown then a die is rolled.

Hence,

Total number of sample space $$S$$ associated with the experiment

$$S=\left\{ H_1, H_2, H_3, H_4, H_5, H_6, T\right\}$$.

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