Given: A coin is tossed and a die is rolled.

To Find: Write the sample space for the given experiment.

Explanation: In the given experiment, coin is tossed and if the outcome is tail then, die will be rolled.

The possible outcome for coin is 2 = {H, T}

And, The possible outcome for die is 6 = {1, 2, 3, 4, 5, 6}

If the outcome for the coin is tail then sample space is S1={(T, 1)(T, 2)(T, 3)(T, 4)(T, 5)(T, 6)}

If the outcome is head then the sample space is S2={(H, H)(H, T)}

So, The required outcome sample space is S=S1S2

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

Hence, The sample space for the given experiment.