To determine the probability that the arrow on a spinner does not stop on a number divisible by 3, we first need some details about the spinner, specifically the numbers it contains. However, lacking that specific information, I can provide you with a general approach to solve this type of problem.
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Identify the numbers on the spinner: List all the possible outcomes (numbers) on the spinner. For example, the spinner might have the numbers 1 through 6.
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Count the total outcomes: Determine the total number of outcomes or sections on the spinner.
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Identify the favorable outcomes: Count how many of those numbers are divisible by 3. For the example of a spinner with numbers from 1 to 6, the numbers that are divisible by 3 are 3 and 6.
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Calculate the probability: Use the formula for probability:
\[
P(\text{not divisible by 3}) = 1 - P(\text{divisible by 3})
\]
Where \( P(\text{divisible by 3}) = \frac{\text{Number of outcomes divisible by 3}}{\text{Total number of outcomes}} \).
- Plug in the values:
Continuing with the example:
- Total outcomes = 6 (numbers 1, 2, 3, 4, 5, 6)
- Outcomes divisible by 3 = 2 (numbers 3 and 6)
Thus,
\[
P(\text{divisible by 3}) = \frac{2}{6} = \frac{1}{3}
\]
\[
P(\text{not divisible by 3}) = 1 - \frac{1}{3} = \frac{2}{3}
\]
In conclusion, if you can provide the specific numbers on the spinner, I can give you a more precise answer.