Problem 127 of 7
Determine whether the probabilities are possible under the addition rule: P(A)=0.70, P(B)=0.60, P(A or B)=0.80.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
check union and intersection constraints.
Hidden until you reveal it.
Check 0 <= probabilities <= 1, intersection no larger than either event, and union no larger than 1.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Use the addition rule to infer missing union or intersection if needed.
2. Check probability bounds and overlap constraints.
3. State possible or impossible with reason.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Accepting an impossible union or overlap.