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an experiment involves tossing a die and then flipping a coin once if the number of the die is even, twice if the number on the die is odd

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Answer:

When a die is rolled, the possible outcomes are 1,2,3,4,5,6

When a coin is tossed , the possible outcomes are H,T

So, the sample space for the given experiment is

S={2H,2T,4H,4T,6H,6T,1HH,1HT,1TH,1TT,3HH,3HT,3TH,3TT,5HH,5HT,5TH,5TT}

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