Math Problem Statement

A game involves a spinner, evenly separated into four sections, and an eight-sided die. To play the game, each player spins the spinner once and rolls the die once.

What is the number of possible outcomes from spinning and rolling one time?

Solution

To determine the number of possible outcomes from spinning the spinner and rolling the die, we need to consider the possible outcomes for each action and then multiply them together.

  1. Spinner Outcomes: The spinner is evenly separated into four sections, so there are 4 possible outcomes when spinning the spinner.

  2. Die Outcomes: The die is an eight-sided die, so there are 8 possible outcomes when rolling the die.

The total number of possible outcomes is the product of these two numbers:

4×8=324 \times 8 = 32

Thus, there are 32 possible outcomes when a player spins the spinner and rolls the die once.

Would you like more details or have any questions?

Here are some related questions:

  1. What is the probability of landing on a specific section of the spinner and rolling an even number?
  2. How would the number of outcomes change if the die had 10 sides instead of 8?
  3. If the game is modified to include two spins and two rolls, how many total outcomes would there be?
  4. What is the probability of getting a specific section on the spinner and a specific number on the die?
  5. How would the outcomes change if the spinner had 6 sections instead of 4?

Tip: When dealing with combined events, multiplying the number of outcomes for each event gives the total number of possible outcomes.

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Math Problem Analysis

Mathematical Concepts

Probability
Multiplication principle

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8