Suppose that you are given a decision situation with three possible states of nature:

s₁, s₂, and s₃.

The prior probabilities are

P(s₁) = 0.3, P(s₂) = 0.2, and P(s₃) = 0.5.

With sample information I,

P(I|s₁) = 0.1, P(I|s₂) = 0.05,

and

P(I|s₃) = 0.2.

Compute the revised or posterior probabilities:

P(s₁|I), P(s₂|I), and P(s₃|I).

(Round your answers to four decimal places.)

P(s₁|I)

P(s₂|I)

P(s₃|I)