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.
Given: A coin is tossed and the a die is rolled.
To Find: Write the sample space for the given experiment.
Explanation: Here, we have a coin and a die,
We know, when coin is tossed there will be 2 event Head and tail,
According to question, If Head occurs on coin then Die will rolled out otherwise not.
So, the sample spaces are :
S={(T, (H, 1)(H, 2), (H, 3), (H, 4), (H, 5), (H, 6)}
Hence, Sample space is (T, (H, 1)(H, 2), (H, 3), (H, 4), (H, 5), (H, 6)