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A coin tossed and then a die is thrown. ...

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

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A coin is tossed and a die is thrown.
We know that, the coin is tossed and die is thrown.
So, 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)
Then, 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)}
∴ The 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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