Suppose you are given two urns, numbered Urn I and Urn II.

Contents of Urn I: 5 red, 6 blue, and 10 green marbles Contents of Urn II: 30 red, 20 blue, and 10 green marbles The probability of selecting Urn I is 0.6 and of selecting Urn II is 0.4. After one of the urns is selected, a marble is selected from that urn. Let I \(=\{\) Urn I is selected \(\}, \bar{I}=\{\) Urn II is selected \(\}\), \(R=\{\) a red marble is selected \(\}, B=\{\) a blue marble is selected \(\}\), and \(G=\{\) a green marble is selected \(\}\). Find the probabilities in Problems 53-58 correct to three decimal places.

\(P(I \mid R)\)