Question

Based on a poll, among adults who regret getting tattoos, 17% say that they were too young when they got their tattoos. If six adults who regret getting tattoos are randomly selected, what is the probability that none of them say they were too young to get tattoos?

a) 0.83
b) 0.33
c) 0.47
d) 0.71

Answer 1

To find the probability that none of the six selected adults say they were too young to get tattoos, we need to calculate the probability of one randomly selected adult saying they were too young and then multiply that probability by itself six times. The probability is approximately 0.47.

Step-by-step explanation:

To find the probability that none of the six selected adults say they were too young to get tattoos, we first need to calculate the probability that one randomly selected adult says they were too young. Since 17% of adults who regret getting tattoos say they were too young, the probability of an adult saying they were too young is 0.17.

1. Now, we can find the probability that none of the six adults say they were too young by multiplying the probability that each adult doesn't say it by itself six times (since the events are independent). So, the probability is calculated as follows: (1 - 0.17) * (1 - 0.17) * (1 - 0.17) * (1 - 0.17) * (1 - 0.17) * (1 - 0.17) = 0.83 * 0.83 * 0.83 * 0.83 * 0.83 * 0.83 ≈ 0.47