# What exactly "adjusted count" tells us in Laplace smoothing?

The probability/frequency of a word $$w_i$$ in an $$N$$-word corpus is given by

$$p(w_i) = \dfrac{c_i}{N}$$

where $$c_i$$ is the number of times the word $$w_i$$ appears in the corpus.

Suppose there are $$V$$ unique words in the corpus. Then add-one smoothing will leads to the new probability value of

$$p_{Laplace}(w_i) = \dfrac{c_i + 1}{N + V}$$

Now, how to understand the adjusted count $$c_i^{*}$$ given by

$$c_i^{*} = (c_i + 1) \dfrac{N}{N + V}$$

What does adjusted count it exactly tell us? How multiplying the new probability measure with $$N$$ manage to give us an adjusted count?