Question: There are three red balls and seven white balls in box A, and six red balls and four white balls in box B. After throwing

There are three red balls and seven white balls in box A, and six red balls and four white balls in box B. After throwing a die, if the number on the die is 1 or 6, then pick a ball from box A. Otherwise, if any other number appears (i.e., 2, 3, 4, or 5), then pick a ball from box B. Selected ball has to put it back before proceeding further.

(a) What is the probability that the selected ball is red?
(b) What is the probability a white ball is picked up in two successive selections?

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