Joint default range

Two bonds default with probabilities P(A)=0.5P(A)=0.5 and P(B)=0.3P(B)=0.3. What is the maximum possible value of P(A or B defaults)P(A\text{ or }B\text{ defaults})? (to 2 decimals)

Show hints (2)+
  1. P(A∪B)P(A\cup B) grows as the overlap shrinks.
  2. Minimum overlap here is 0.

Answer

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0.8 (± 0.01)

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