To determine the theoretical probability of landing on 'G' for each spinner, we need to count the number of 'G' outcomes and divide it by the total number of outcomes for each spinner.
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Spinner 1: G, G, G, R
- Number of 'G's: 3
- Total outcomes: 4
- Probability of 'G': \( \frac{3}{4} = 0.75 \)
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Spinner 2: R, R, G, G, G, R, R, G
- Number of 'G's: 4
- Total outcomes: 8
- Probability of 'G': \( \frac{4}{8} = \frac{1}{2} = 0.5 \) (but not listed in your options)
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Spinner 3: O, O, O, O, Y, Y, Y, Y
- Number of 'G's: 0
- Total outcomes: 8
- Probability of 'G': \( \frac{0}{8} = 0 \) (also not listed in your options but can be communicated)
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Spinner 4: O, O, O, Y, Y, Y, G, G, G, R, R, R
- Number of 'G's: 3
- Total outcomes: 12
- Probability of 'G': \( \frac{3}{12} = \frac{1}{4} = 0.25 \)
Based on the calculations, the relevant probabilities are:
- Spinner 1: \( \frac{3}{4} = 0.75 \)
- Spinner 2: \( \frac{1}{2} = 0.5 \) (not an option)
- Spinner 3: 0 (not listed)
- Spinner 4: \( \frac{1}{4} = 0.25 \)
So, the probabilities available from your options correspond to:
- Spinner 1: 0.75
- Spinner 4: \( \frac{1}{4} \) which is 25%, not matching with your options.
Hence, the theoretical probabilities from those spinners you listed that fit the answer choices are:
- Theoretical probability for Spinner 1 is 0.75
- Theoretical probability for Spinner 4 is 1/4 or 25%.
If you need the exact fitting with provided options only, then option present is:
- \( 0.75 \) for Spinner 1 (from your options enlisting).
Let me know if you need any more help or clarification!