Question

jeriel is designing a new board game, and is trying to figure out all the possible outcomes. how many different possible outcomes are there if he spins a spinner with three equal-sized sections labeled walk, run, stop and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Explanation:

Step1: Determine spinner outcomes

The spinner has 3 equal - sized sections, so the number of possible outcomes for the spinner is 3 (Walk, Run, Stop).

Step2: Determine die outcomes

A fair six - sided die has 6 possible outcomes (the numbers 1 to 6).

Step3: Use the multiplication principle

The multiplication principle of counting states that if there are \(m\) ways to do one thing and \(n\) ways to do a second thing, then there are \(m\times n\) ways to do both things. Here, \(m = 3\) (spinner outcomes) and \(n=6\) (die outcomes). So the total number of possible outcomes is \(3\times6 = 18\).

Answer:

18