To determine the probability of spinning an odd number greater than 3 on a spinner that has sections numbered from 1 to 8, we can follow these steps:
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Identify the total possible outcomes: The spinner has 8 sections, so there are 8 possible outcomes when you spin it (1, 2, 3, 4, 5, 6, 7, 8).
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Identify the favorable outcomes: We need to find the odd numbers greater than 3. The odd numbers greater than 3 in the range from 1 to 8 are:
- 5
- 7
Therefore, the favorable outcomes are {5, 7}.
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Count the favorable outcomes: There are 2 favorable outcomes (5 and 7).
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Calculate the probability: The probability is given by the number of favorable outcomes divided by the total number of possible outcomes.
\[ P(\text{odd number > 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{2}{8} = \frac{1}{4} \]
Thus, the probability of spinning the arrow once and getting an odd number greater than 3 is \( \frac{1}{4} \).
The answer is:
D. \( \frac{1}{4} \)