Math Problem Statement

Avery will spin each of these spinners once. How many outcomes are possible?

Solution

In the image, we have two spinners. The first spinner has three sections labeled "A," "B," and "C," while the second spinner has two sections labeled "1" and "2." Avery will spin each of these spinners once, and we need to find how many different outcomes are possible.

Each outcome is a combination of one result from the first spinner and one result from the second spinner.

  • The first spinner has 3 sections ("A," "B," and "C").
  • The second spinner has 2 sections ("1" and "2").

To find the total number of possible outcomes, we multiply the number of options for each spinner:

Total outcomes=3×2=6\text{Total outcomes} = 3 \times 2 = 6

So, there are 6 possible outcomes.

Would you like a more detailed explanation or have any questions?

Here are 5 questions to deepen your understanding:

  1. What are the possible combinations for the outcomes?
  2. How does the number of sections on each spinner affect the total outcomes?
  3. What if the first spinner had 4 sections instead of 3? How would the total outcomes change?
  4. How could you extend this problem to three spinners?
  5. How would the problem change if Avery spins each spinner twice?

Tip: When dealing with independent events like spins from two different spinners, you can always find the total number of outcomes by multiplying the number of possibilities for each event.

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Probability

Formulas

Total outcomes = Number of outcomes from spinner 1 × Number of outcomes from spinner 2

Theorems

Multiplication Principle of Counting

Suitable Grade Level

Grades 4-6