Given: There is a coin which tossed twice.

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

Explanation: A coin is tossed twice , So the outcomes are

S₁={HH, HT, TH, TT}

Now, If the second drawn result is head , the a die is rolled then the elementary events is

S₂={(HH, 1), (HH, 2)(HH, 3), (HH, 4)(HH, 5), (HH, 6), (HH, 1), (TH, 2)(TH, 3), (TH, 4)(TH, 5), (TH, 6)}

Thus, The total sample space for the experiment is S=S₁ S₂

S={(HH), (HT), (TH), (TT)(HH, 1), (HH, 2)(HH, 3), (HH, 4)(HH, 5), (HH, 6), (HH, 1), (TH, 2)(TH, 3), (TH, 4)(TH, 5), (TH, 6)}

Hence, S is the sample space for given experiment.