Are the event that a student chooses the finance option and the event that she chooses the co-op stream mutually exclusive?

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BlackTom AI · Accepted Answer

Restating the scenario: The question asks whether the event 'a student chooses the finance option' and the event 'she chooses the co-op stream' are mutually exclusive.
Option 1: There is insufficient information to decide. This would be considered if the problem did not specify any rules about how options can be selected or scheduled, such as whether a student may enroll in multiple streams or options simultaneously. In many programs, students can pick one track or option, while in others they can combine, so without explicit policy details we cannot be certain. However, the stem seems to imply a specific setup where the two options are being contrasted, suggesting a decision context rather than an unknown policy.
Option 2: No, these events are not mutually exclusive. This would be true if a student could enroll in both the finance option and the co-op stream at the same time. The phrase 'not mutually exclusive' corresponds to the possibility of their intersection being nonempty. If the program structure allows concurrent selection or overlapping features (e.g., a finance track that includes a co-op component), this option would be plausible.
Option 3: Yes, these events are mutually exclusive. Declaring mutual exclusivity means a student cannot experience both events simultaneously. This would hold if the program strictly requires choosing one track only, with the finance option and the co-op stream defined as alternative, non-overlapping paths. In such a case, selecting one would exclude selecting the other, making the intersection empty.
In summary, the correctness hinges on the program rules: if the policy allows only one track at a time, option 3 would be correct; if overlap is possible, option 2 would be correct. If the prompt lacks policy details to determine exclusivity, option 1 would be the cautious choice. Given the provided answer choices, the statement asserting mutual exclusivity aligns with a scenario where the program design forces a single-path choice, but without explicit policy, the other interpretations remain possible.

COMM_V 190 101-104 2025W1 HW09.COMM190.2025.W1

Are the event that a student chooses the finance option and the event that she chooses the co-op stream mutually exclusive?

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