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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 the experiment

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Given :
A die is rolled initially
If even number occurs on the die,a coin is tossed once
If odd number occurs on the die,a coin is tossed twice.
Therefore,the sample space can be written as
$S=\left\{\begin{array}{1 1}1HH,1HT,1TH,1TT,2H,2T,\\3HH,3HT,3TH,3TT,4H,4T,\\5HH,5HT,5TH,5TT,6H,6T\end{array}\right\}$
answered Jun 26, 2014

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