grayson is designing a new board game, and is trying to figure out all the possible outcomes. how many…

grayson 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, spins a spinner with 5 equal - sized sections labeled monday, tuesday, wednesday, thursday, friday, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

grayson 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, spins a spinner with 5 equal - sized sections labeled monday, tuesday, wednesday, thursday, friday, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answer

Explanation:

Step1: Recall the counting principle

The total number of outcomes of multiple - independent events is the product of the number of outcomes of each individual event.

Step2: Determine number of outcomes for each event

The first spinner has 3 outcomes, the second spinner has 5 outcomes, and the die has 6 outcomes.

Step3: Calculate total number of outcomes

Multiply the number of outcomes of each event: $3\times5\times6$. $3\times5\times6 = 90$

Answer:

90