Directions (Q56–60): A domain has three Boolean variables Toothache, Cavity and Catch, with full joint distribution: cavity ∧ toothache: catch 0.108, ¬catch 0.012; cavity ∧ ¬toothache: catch 0.072, ¬catch 0.008; ¬cavity ∧ toothache: catch 0.016, ¬catch 0.064; ¬cavity ∧ ¬toothache: catch 0.144, ¬catch 0.576.
P(cavity ∨ toothache) is __________.
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Correct answer: C. 0.280
Explanation
P(cavity ∨ toothache) = 0.2 + 0.2 − 0.12 = 0.28.
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