Q14 of 43 Page 15

An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.


Firstly a die is rolled. If the number on the die is even i.e., 2, 4, 6 then a coin is tossed once. If the number is odd i.e., 1, 3, 5 then the coin is tossed twice.

The sample space is given by:

S = {2H, 4H, 6H, 2T, 4T, 6T, 1HH, 1HT, 1TH, ITT, 3HH, 3HT, 3TH, 3TT, 5HH, 5HT, 5TH, 5TT}

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