Final answer:
The probability that an 82% free throw shooter misses the next free throw is 18%, as the sum of the probabilities of making and not making the shot must equal 100%.
Step-by-step explanation:
The subject of this question is Mathematics, specifically probability as it pertains to free throws in basketball. The question asks for the probability that a basketball player who shoots 82% on free throws will miss their next free throw.
To calculate this probability, we need to consider that the probability of an event happening plus the probability of it not happening equals 1 (or 100%). Since the player is an 82% free throw shooter, this means they will make 82 out of 100 free throw shots on average, and miss 18 out of 100 shots on average. Therefore, the probability that the player misses the next free throw is 18%.