Math Problem Statement

What is the probability of spinning an 8 or an 11 on the spinner?

Solution

The question in the image asks to find the probability of spinning an 8 or an 11 on the spinner.

Step-by-Step Solution:

  1. Count the total number of possible outcomes on the spinner: The spinner has numbers from 1 to 12, which means there are 12 possible outcomes in total.

  2. Identify the favorable outcomes: The favorable outcomes are spinning either an 8 or an 11, which are 2 outcomes.

  3. Calculate the probability: The probability of an event is given by: P(Event)=Number of favorable outcomesTotal number of outcomesP(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} So, the probability of getting an 8 or 11 is: P(8 or 11)=212=16P(8 \text{ or } 11) = \frac{2}{12} = \frac{1}{6}

Thus, the probability P(8 or 11)P(8 \text{ or } 11) is 16\frac{1}{6}.


Would you like further details or have any questions?

Here are 5 related questions to expand on this concept:

  1. What is the probability of spinning an even number on this spinner?
  2. How would the probability change if there were 20 numbers on the spinner instead of 12?
  3. What is the probability of spinning a number less than 5 on the spinner?
  4. If you spin the spinner twice, what is the probability of getting an 8 on the first spin and an 11 on the second?
  5. How would you calculate the probability of getting a number greater than 6?

Tip: Always remember to count all possible outcomes and favorable outcomes when calculating probabilities!

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Math Problem Analysis

Mathematical Concepts

Probability
Basic Probability Theory

Formulas

P(Event) = Number of favorable outcomes / Total number of outcomes

Theorems

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Suitable Grade Level

Grades 6-8