Math Problem Statement

What is the probability of landing on the number 6 from a spinner with 12 sections?

Solution

The image shows a spinner divided into 12 equal sections, each numbered from 1 to 12. The question asks for the probability of landing on the number 6, denoted as P(6)P(6).

Steps to solve:

  1. Identify the total number of possible outcomes: Since the spinner has 12 sections, the total number of possible outcomes when spinning the spinner is 12.

  2. Identify the favorable outcomes: The problem is asking for the probability of landing on 6. There is only one section labeled 6, so there is 1 favorable outcome.

  3. Calculate the probability: The probability P(6)P(6) is calculated as the ratio of favorable outcomes to the total number of possible outcomes: P(6)=112P(6) = \frac{1}{12}

So, the probability of landing on the number 6 is 112\frac{1}{12}.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

  1. What is the probability of landing on an even number?
  2. What is the probability of landing on a number greater than 9?
  3. If you spin twice, what is the probability of landing on a 6 both times?
  4. What is the probability of landing on a number less than 4?
  5. If the spinner is spun three times, what is the probability of landing on a different number each time?

Tip: Probability questions often become easier when you visualize the situation and carefully count the favorable and possible outcomes!

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Math Problem Analysis

Mathematical Concepts

Probability
Basic Counting Principles

Formulas

Probability = Favorable Outcomes / Total Outcomes

Theorems

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Suitable Grade Level

Grades 6-8