Use bayes theorem or a tree diagram to calculate the

Question

In a certain year, 88% of all Caucasians in the U.S., 75% of all African-Americans, 75% of all Hispanics, and 82% of residents not classified into one of these groups used the Internet for e-mail. At that time, the U.S. population was 64% Caucasian, 10% African-American, and 13% Hispanic. What percentage of U.S. residents who used the Internet for e-mail were Hispanic? (Round your answer to the nearest whole percent.)

Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.]Y₁, Y₂, Y₃ form a partition of S. P(X | Y₁) = .3, P(X | Y₂) = .1, P(X | Y₃) = .6, P(Y₁) = .6, P(Y₂) = .2.

Find P(Y₁ | X).