Math Problem Statement

Use the spinner below to find the probability of getting either 5 or 9 after one spin. The spinner has 12 equal sections numbered from 1 to 12.

Solution

To find the probability of landing on either 5 or 9 in one spin of the spinner:

  1. The total number of sections on the spinner is 12 (numbered from 1 to 12).
  2. There are two favorable outcomes: landing on either 5 or 9.

The formula for probability is:

P(A)=Number of favorable outcomesTotal number of possible outcomesP(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

In this case:

P(5 or 9)=212=16P(5 \text{ or } 9) = \frac{2}{12} = \frac{1}{6}

Now, converting this fraction into a decimal and rounding to 4 decimal places:

P(5 or 9)=160.1667P(5 \text{ or } 9) = \frac{1}{6} \approx 0.1667

So, the probability of getting 5 or 9 is 0.1667.

Would you like more details, or do you have any other questions? Here are five related questions you could explore:

  1. What is the probability of landing on an odd number in one spin?
  2. How would the probability change if the spinner had 16 sections instead of 12?
  3. What is the probability of not landing on 5 or 9?
  4. If you spun the spinner 3 times, what is the probability of getting 5 exactly once?
  5. How would you calculate the probability of landing on either 5, 9, or 12?

Tip: Probabilities always range between 0 (impossible) and 1 (certain), so if you ever get a number outside that range, check your calculations!

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Math Problem Analysis

Mathematical Concepts

Probability
Fractions

Formulas

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

Theorems

Basic probability theorem

Suitable Grade Level

Grades 5-7