Step-by-step Solution:

Quick Solution

This is a logical deduction puzzle. The best approach is to first translate the rules into simple "If... then..." statements and then follow the chain of logic starting from the given condition ("B occurs").

1. Translating the Rules into Simple Logic

Let's simplify the given conditions:

• Rule 1: If A occurs, then (B or C occurs, but not both).
• Rule 2: If F occurs, then B must occur.
• Rule 3: If B occurs or C occurs, then D must occur.
• Rule 4: If E occurs, then C must occur.
• Rule 5: If J occurs, then C must occur.
• Rule 6: If D occurs, then G or H (or both) must occur.
• Rule 7: If E occurs, then H must occur.
• Rule 8: If F occurs, then G must occur.

2. Following the Logical Chain

The question asks what must occur if we assume that B occurs. Let's trace the consequences.

1. Start with the premise: B occurs.
2. We check our list of rules. Rule 3 says, "If B occurs or C occurs, then D must occur." Since our premise is that B occurs, the condition is met.
   Therefore, D must occur.
3. Now that we know D occurs, we can check for further consequences. Rule 6 says, "If D occurs, then G or H (or both) must occur."
   Therefore, we know that at least one of G or H must occur. However, this rule does not guarantee that G *specifically* must occur, or that H *specifically* must occur.

No other rules are automatically triggered with certainty. For example, in Rule 2 ("If F occurs, then B occurs"), knowing that B occurred doesn't force F to occur.

3. Conclusion

Based on our deduction, if B occurs, the only other event from the options that is absolutely guaranteed to occur is D.

Final Answer: If B occurs, D must occur.