To determine which simulation appropriately models the number of individuals who will experience side effects from the medication given that 7% of adults have side effects, we need to consider how each proposed simulation translates the probability of 7% into a random selection or event.
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Random number chart simulation with 100 numbers, where drawing a 23 indicates side effects will be present:
- Since 7% of 100 is 7, a drawing of 23 would not work because only number 1 to 7 should indicate side effects. Thus, this option does not align with the probabilities.
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Coin simulation, with heads indicating that side effects will be present:
- With a fair coin, the probability of heads is 50%, which does not correspond to the 7% side effect rate. So, this does not model the situation accurately.
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Number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present:
- This simulation has a probability of 1/6 (approximately 16.67%) for rolling a 3, which is higher than the 7% probability. Therefore, this does not accurately model the situation.
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Spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present:
- If the spinner has 14 sections, then the probability of landing on section 2 is 1/14, which is approximately 7.14%. This is the closest to the required 7% probability and thus is the correct model.
Based on these evaluations, the best model for the number of individuals who will experience side effects is:
A spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present.