Question

jason 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 5 equal - sized sections labeled monday, tuesday, wednesday, thursday, friday and spins a spinner with three equal - sized sections labeled walk, run, stop?

Explanation:

Step1: Identify the number of outcomes for each spinner

The first spinner has 5 equal - sized sections, so it has 5 possible outcomes. The second spinner has 3 equal - sized sections, so it has 3 possible outcomes.

Step2: Apply the fundamental counting principle

The fundamental counting principle states that if there are \(m\) ways to do one thing and \(n\) ways to do another thing, then there are \(m\times n\) ways to do both things.
Here, \(m = 5\) (outcomes of the first spinner) and \(n=3\) (outcomes of the second spinner). So the total number of possible outcomes is \(5\times3=15\).

Answer:

15