The partnership of Davis and Williams splits profits $\frac{2}{3}$ to Davis and $\frac{1}{3}$ to Williams. There is no provision for losses. The partiership has a net loss of $$150,000.$ What is Williams's share of the loss?

A$.$ $$150,000$

B$.$ $$100,000$

C$.$ $$50,000$

D$.$ Cannot be determined because the loss$-$sharing ratio is not given.