Question

In business, 39 employees feel like their job out of total of 84. If you'd like five people what is the probability that at least one doesn't like their job?

Answer 1

The probability that at least one person doesn't like their job is 97.81%.

Step-by-step explanation:

To calculate the probability that at least one person doesn't like their job, we can calculate the probability that all five people like their job and subtract it from 1. Since 39 employees feel like their job out of a total of 84, the probability that one person likes their job is 39/84 = 0.4643. Therefore, the probability that all five people like their job is (0.4643)^5 = 0.0219.

To find the probability that at least one doesn't like their job, we subtract 0.0219 from 1: 1 - 0.0219 = 0.9781. So the probability that at least one person doesn't like their job is 0.9781, or 97.81%.