Question

quiz unit 4 - statistics
draw a tree - diagram for spinning spinner a one time and then spinner b one time. use the diagram to find the number of possible outcomes.
based on the tree, what is the number of possible outcomes?

Explanation:

Step1: Identify number of outcomes for Spinner A

Spinner A has 3 colors (Red, Blue, Yellow), so there are 3 possible outcomes for the first - spin.

Step2: Identify number of outcomes for Spinner B

Spinner B has 4 numbers (1, 2, 3, 4), so there are 4 possible outcomes for the second - spin.

Step3: Use multiplication principle

By the fundamental counting principle, the total number of possible outcomes when spinning Spinner A first and then Spinner B is the product of the number of outcomes of each spinner. So, the total number of outcomes is \(3\times4 = 12\).

Answer:

12