Both events are independent, so any b from the die can be combined with any outcome from the spinner, thus the sample space is;
[tex]\rm (1, R ) \ (1, B ) \ (1, Y ) , (2, R ) \ (2, B ) \ (2, Y ) , (3, R ) \ (3, B ) \ (3, Y )[/tex]
A sample space is a collection or a set of possible outcomes of a random experiment.
The sample space associated with a random experiment is the set of all its possible outcomes. It's usually denoted by the letter .
The possible outcomes for each event are 1, 2, 3, and 4 for the 4-sided die and red (R), blue (B), and yellow (Y) for the 3-color spinner.
The experiment consists of rolling a 4-sided die and spinning a 4-color spinner. The possible outcomes for the die are;
[tex]\rm = \dfrac{1}{3}\times \dfrac{1}{4}\\\\=\dfrac{1}{12}[/tex]
Both events are independent, so any b from the die can be combined with any outcome from the spinner, thus the sample space is;
[tex]\rm (1, R ) \ (1, B ) \ (1, Y ) , (2, R ) \ (2, B ) \ (2, Y ) , (3, R ) \ (3, B ) \ (3, Y )[/tex]
Learn more about sample space here;
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