Note that add-one smoothing has made a very big change to the counts. C(want to) changed from 609 to 238! We can see this in probability space as well: P(to|want) decreases from .66 in the unsmoothed case to .26 in the smoothed case. Looking at the discount d (the ratio between new and old counts) shows us how strikingly the counts for each prefix word have been reduced; the discount for the bigram want to is .39, while the discount for Chinese food is .10, a factor of 10!