This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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It looks like some crucial information is missing from the problem statement to solve parts b) and c). I need the probabilities of events A, B, C, and D, and any relationships between them (e.g., if they are independent, mutually exclusive, or if there's a probability table).
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It looks like some crucial information is missing from the problem statement to solve parts b) and c).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.