Final answer:
The correct answer is option B, which states the probability of two mutually exclusive events occurring together (P(HD)) is 0.The expression equivalent to 0.25 is 0.25C.
Step-by-step explanation:
The correct answer is option B. In probability theory, when two events are mutually exclusive, it means they cannot both happen at the same time. Thus, if event H has a probability of 0.25 (P(H) = 0.25) and event D has a probability of 0.15 (P(D) = 0.15), then the probability of both H and D occurring, denoted as P(HD), which means the intersection of H and D, is 0 because they cannot both occur simultaneously by definition of mutual exclusivity.
To determine which expression is equivalent to 0.25, we need to identify the decimal that is equal to 0.25. Among the given options, only option B, 0.25C, represents the decimal value of 0.25.