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

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

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When we toss a coin, there is possibility either head will come or tail will come.
If head comes, then dice will be rolled. Then, there can be 6 out comes.
In that case, possible outcomes H1,H2,H3,H4,H5,H6.
If, tail will come, nothing will be done. So, here is only a single outcome.
In that case, only possible outcome is T.
So, sample space will be = 6+1 = 7