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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.
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An experiment consisting of rolling a die and the tossing a coin once. If the number on the die is even. If the number is odd, the coin is tossed twice. The sample space $\mathrm{S}$ for this experiment is given by
$S=\{1 H H, 1 T H, 1 H T, 1 T T, 2 H, 2 T, 3 H H, 3 H T, 3 T H, 3 T T$,
$4 H, 4 T, 5 H H, 5 H T, 5 T H, 5 T T, 6 H, 6 T\}$
$S=\{1 H H, 1 T H, 1 H T, 1 T T, 2 H, 2 T, 3 H H, 3 H T, 3 T H, 3 T T$,
$4 H, 4 T, 5 H H, 5 H T, 5 T H, 5 T T, 6 H, 6 T\}$
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