Q. 83.7( 7 Votes )

# 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.

Answer :

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)

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