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.
The marginal probability of cavity P(cavity) is __________.
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Correct answer: A. 0.200
Explanation
P(cavity) = 0.108 + 0.012 + 0.072 + 0.008 = 0.200.
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