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प्रश्न
When two dice are rolled:
List the outcomes for the event that the total is odd.
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उत्तर
\[\text{ Possible outcomes when two dice are rolled }: \]
\[S = \left\{ \left( 1, 1 \right), \left( 1, 2 \right), \left( 1, 3 \right), \left( 1, 4 \right), \cdots, \left( 6, 5 \right), \left( 6, 6 \right) \right\}\]
\[\text{ Therefore, the number of possible outcomes in the sample space is 36 }. \]
\[\text{ The outcomes for the event that the total is odd }: \]
\[E = \left\{ \left( 1, 2 \right), \left( 1, 4 \right), \left( 1, 6 \right), \left( 2, 1 \right), \left( 2, 3 \right), \left( 2, 5 \right), \left( 3, 2 \right), \left( 3, 4 \right), \left( 3, 6 \right), \left( 4, 1 \right), \left( 4, 3 \right), \left( 4, 5 \right), \left( 5, 2 \right), \left( 5, 4 \right), \left( 5, 6 \right), \left( 6, 1 \right), \left( 6, 3 \right), \left( 6, 5 \right) \right\}\]
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