Suppose it is known that approximately 7 percent of adults who take a certain medication will experience side effects. Which of the following simulations could model the number of individuals who will experience side effects if the medication is given to 390 adults?(1 point) Responses a random number chart simulation with 100 numbers, where drawing a 23 indicates that side effects will be present a random number chart simulation with 100 numbers, where drawing a 23 indicates that side effects will be present a spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present a spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present a number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present a number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present a coin simulation, with heads indicating that side effects will be present

1 answer

To model the number of individuals who will experience side effects among 390 adults taking the medication, we first need to understand the probability of experiencing side effects. Since approximately 7 percent of adults are expected to experience side effects, we can represent this in a simulation.

To find a suitable simulation method, we must ensure that the method accurately reflects this 7 percent probability. Here’s how to evaluate each option:

  1. A random number chart simulation with 100 numbers, where drawing a 23 indicates that side effects will be present.
    Since 23 is one of 100 numbers, this indicates a 1 in 100 chance (1%) of drawing side effects. This does not accurately model the 7% chance.

  2. A spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present.
    Each section represents 1/14, which is approximately 7.14%. This is close to the required probability. Thus, this option could work.

  3. A number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present.
    This represents a 1 in 6 chance (approximately 16.67%), which is too high to model a 7% chance accurately.

  4. A coin simulation, with heads indicating that side effects will be present.
    This represents a 50% chance of side effects, which is far too high.

The best simulation among the provided options is the spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present. This option provides a probability that closely matches the desired 7%.