Homework Answers
Bigram LM with Laplace smoothing:
P(wn | wn-1) = C( wn-1wn)+1/C(wn) +V
V is vocabulary size for a bigram model
P(shark | fish) = C(fish,shark)+1/C(fish)+V
C(fish,shark)= 0
C(fish) =4
V= 7 (unique words are: a,shark,is, fish,sharky,are,too)
P(shark | fish) = 0+1/4+7 = 1/11=0.091
Option E is correct.
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