Question

Which of the following is not a binorrial experiment?

a Asking 100 people whether or not the like pizza.
b. Measuring the height of 100 people to see if they are over 61.
Asking 100 people what their favorite color is.
d. Asking 100 people if their favorite color is red.

Answer 1

Option c, asking 100 people what their favorite color is, is not a binomial experiment because the outcomes are not considered as success or failure.

Step-by-step explanation:

In a binomial experiment, there are three characteristics that need to be met:

1. There are a fixed number of trials.
2. There are only two possible outcomes for each trial, considered as success or failure.
3. The probability of success remains the same for each trial.

Based on these characteristics, we can determine that option c, asking 100 people what their favorite color is, is not a binomial experiment. This is because the outcomes, favorite colors, are not considered as success or failure. Instead, they are different possibilities. Therefore, the correct answer is c.