Math Problem Statement

Use the spinner below to find the probability of landing on 8 or 4. P(8 or 4) =

Solution

To find the probability P(8 or 4)P(8 \text{ or } 4), we need to determine the likelihood that the spinner lands on either 8 or 4.

Steps to solve:

  1. Count the total sections on the spinner: There are 12 sections (numbered 1 through 12).
  2. Identify the favorable outcomes: The spinner needs to land on either the number 8 or 4. There are two favorable outcomes (8 and 4).
  3. Calculate the probability: P(8 or 4)=Number of favorable outcomesTotal number of sections=212=16P(8 \text{ or } 4) = \frac{\text{Number of favorable outcomes}}{\text{Total number of sections}} = \frac{2}{12} = \frac{1}{6}

Answer:

P(8 or 4)=16P(8 \text{ or } 4) = \frac{1}{6}

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Here are some related questions for further exploration:

  1. What is the probability of landing on an even number?
  2. What is the probability of landing on a prime number?
  3. What is the probability of landing on a number greater than 6?
  4. What is the probability of landing on a single-digit number?
  5. How does the probability change if another number is added as a favorable outcome?

Tip: When calculating probabilities with "or" events, count each favorable outcome only once, even if multiple favorable numbers are requested.

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Math Problem Analysis

Mathematical Concepts

Probability
Basic Fractions

Formulas

P(A or B) = Number of favorable outcomes / Total number of outcomes

Theorems

Addition Rule for Probability (for mutually exclusive events)

Suitable Grade Level

Grades 4-6