Question

It is estimated that 3.8% of americans households have a pet reptile. if you pick three american hiuseholds at random, what is the probability that none of them will have a pet reptile?

Answer 1

The probability that three randomly chosen American households do not have a pet reptile is approximately 88.79%.

Step-by-step explanation:

To calculate the probability that none of three randomly selected American households have a pet reptile, we use the complement rule. The probability that a single household has a pet reptile is 3.8% or 0.038. Therefore, the probability that a single household does not have a pet reptile is 1 - 0.038, which equals 0.962 or 96.2%. The event of selecting households is independent, which means the probability of no household having a reptile in three independent selections is (0.962 * 0.962 * 0.962).

The calculation is 0.962^3, which equals approximately 0.8879 or 88.79%. This final answer represents the probability that out of three randomly chosen households, none will have a pet reptile.