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 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 a coin simulation, with heads indicating 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 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

1 answer

To simulate the number of individuals who will experience side effects from a medication that has a 7% chance of causing them among 390 adults, we want to choose a method that accurately reflects that probability.

Let's evaluate the options:

  1. Number Cube Simulation with a Six-Sided Number Cube, where Rolling a 3 Indicates Side Effects:

    • This method would only have a \( \frac{1}{6} \) or approximately \( 16.67% \) chance of indicating side effects, which does not match the 7%.
  2. Coin Simulation, with Heads Indicating Side Effects:

    • A coin flip gives a \( 50% \) chance for heads, which is also not suitable for replicating the 7% chance.
  3. Random Number Chart Simulation with 100 Numbers, where Drawing a 23 Indicates Side Effects:

    • Here, drawing a 23 would represent \( 1% \) chance (1 out of 100), not matching the 7%.
  4. Spinner Simulation with 14 Equally Spaced Sections, with Section 2 Indicating Side Effects:

    • This would give a \( \frac{1}{14} \) chance, approximately \( 7.14% \), which is very close to the desired 7%. This is a reasonable option as it closely approximates the desired probability.

Among the options, the best choice for simulating the number of individuals who would experience side effects when giving the medication to 390 adults is:

Spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present.

This method effectively simulates the 7% probability in a practical way.