NLP 29

0. Consider the PCFG given below:
S -> NP VP 0.6 PropNoun -> DALLAS 0.2
S -> VP 0.4 PropNoun -> ALICE 0.3
NP -> NP PP 0.4 PropNoun -> BOB 0.3
NP -> PropNoun 0.6 PropNoun -> AUSTIN 0.3
VP -> Verb 0.3 Verb -> ADORE 0.5
VP -> Verb NP 0.3 Verb -> SEE 0.5
VP -> VP PP 0.4 Prep -> IN 0.4
PP -> Prep NP 1.0 Prep -> WITH 0.6
 What is the probability of the sentence w1,4 = "SEE BOB IN AUSTIN"?

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