Determine the Appropriate Probability Rule to Use
-A study conducted at a certain college shows that 58% of the school s graduates move to a different state after graduating. Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.
A) 0.998
B) 0.978
C) 0.143
D) 0.580

Question

Quizplus · Accepted Answer

The appropriate rule to use is the complement rule, which calculates the probability of at least one event happening by subtracting the probability of none happening from 1. The probability of none moving is (1 - 0.58)^7. Subtracting this from 1 gives the probability of at least one moving, which is approximately 0.998.