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The first bowl contains 6 red balls and 17 blue balls, and a second bowl contains 11 red balls and 8 blue balls. A ball

The first bowl contains 6 red balls and 17 blue balls, and a second bowl contains 11 red balls and 8 blue balls. A ball is selected after tossing a die. If the result on the die is smaller than 5, than the ball is selected from the first bowl; otherwise, the ball is selected from the second bowl.

  1. What is the probability that the chosen ball is blue?
  2. What is the probability that a ball was picked from J2 given that the color of the selected ball is blue?

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