Question

When two dice are rolled:

List the outcomes for the event that the total is odd. 

 

Answer 1

\[\text{ Possible outcomes when two dice are rolled }: \]
\[S = \left\{ \left( 1, 1 \right), \left( 1, 2 \right), \left( 1, 3 \right), \left( 1, 4 \right), \cdots, \left( 6, 5 \right), \left( 6, 6 \right) \right\}\]

\[\text{ Therefore, the number of possible outcomes in the sample space is 36 }. \]

\[\text{ The outcomes for the event that the total is odd }: \]
\[E = \left\{ \left( 1, 2 \right), \left( 1, 4 \right), \left( 1, 6 \right), \left( 2, 1 \right), \left( 2, 3 \right), \left( 2, 5 \right), \left( 3, 2 \right), \left( 3, 4 \right), \left( 3, 6 \right), \left( 4, 1 \right), \left( 4, 3 \right), \left( 4, 5 \right), \left( 5, 2 \right), \left( 5, 4 \right), \left( 5, 6 \right), \left( 6, 1 \right), \left( 6, 3 \right), \left( 6, 5 \right) \right\}\]