26. Consider the PCFG given below:
| S -> A B | 0.3 | |
| S -> B C | 0.7 | |
| A -> B A | 0.4 | |
| A -> a | 0.6 | |
| B -> CC | 0.7 | |
| B -> b | 0.3 | |
| C -> A B | 0.3 | |
| C -> a | 0.7 |
27. 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 |
Probability of the sentence "Fire breaks out in the forest", given a grammar G.
Probability of the sentence "Fire breaks out in the forest", given a grammar G and some rule which derive the segment "breaks out".
Probability of the sentence "Fire breaks out in the forest", given a grammar G and that there is some consistent spanning of the segment "breaks out", i.e. from word 2 to 3.
None of the above