6. A bag contains 15 red balls and 20 black
balls. Each ball is numbered either 1 or
2 or 3. 20% of the red balls are
numbered 1 and 40% of them are
numbered 3. Similarly, among the black
balls, 45% are numbered 2 and 30% are
numbered 3. A boy picks a ball at
random. He wins if the ball is red and
numbered 3 or if it is black and
numbered 1 or 2. What are the chances
of his winning?
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