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:
- The total number of sections on the spinner is 12 (numbered from 1 to 12).
- There are two favorable outcomes: landing on either 5 or 9.
The formula for probability is:
In this case:
Now, converting this fraction into a decimal and rounding to 4 decimal places:
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:
- What is the probability of landing on an odd number in one spin?
- How would the probability change if the spinner had 16 sections instead of 12?
- What is the probability of not landing on 5 or 9?
- If you spun the spinner 3 times, what is the probability of getting 5 exactly once?
- 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