Question

You roll a red die and a green die. What is the size of the sample space and all possible outcomes of rolling these two dice,given that the red die shows an even number?

Answer 1

\[S=\left\{ 2_{r},4_{r},6_{r} \right\}\cup \left\{ 1_{g},2_{g},3_{g},4_{g},5_{g}6_{g} \right\}\]
There are 3 ways of selecting the red even numbers and 6 ways of selecting the green numbers. Therefore the number of all possible outcomes is\[3\times 6=18\]