Answer:
To calculate the approximate probability of randomly choosing one vegetable and one grain-based side dish from the options provided, you can use the following steps:
1. Calculate the total number of side dish combinations:
- The restaurant offers 3 vegetable side dishes, 2 fruit side dishes, and 5 grain-based side dishes.
- Total side dish options = 3 (vegetable) + 2 (fruit) + 5 (grain-based) = 10 options.
2. Calculate the probability of choosing one vegetable and one grain-based side dish:
- Probability (vegetable) = Number of vegetable options / Total side dish options = 3 / 10.
- Probability (grain-based) = Number of grain-based options / Total side dish options = 5 / 10.
3. Multiply the probabilities together to find the probability of both events occurring:
- Probability (vegetable and grain-based) = Probability (vegetable) * Probability (grain-based).
- Probability (vegetable and grain-based) = (3 / 10) * (5 / 10) = 15 / 100 = 0.15.
So, the approximate probability of randomly choosing one vegetable and one grain-based side dish is 0.15 or 15%.