A coin is tossed and then a die is thrown. Describe the sample space for this experiment.

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


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


Explanation: Here, The coin is tossed and die is thrown.


We know, when coin is tossed there will be 2 events either Head or Tail.


And, when die is thrown then there will be 6 faces (1, 2, 3, 4, 5, 6)


SO, The total number of Sample space together is 2×6 = 12


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


Hence, Sample space are {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}


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