A minesweeper uses a robot to check two routes (A or B) for mines. The probability that the robot will go by route A is 49%. If it goes by route A, the probability of hitting a mine and exploding is 67%. If it goes by route B, the probability of hitting a mine and exploding is 34%. Given that the robot exploded, find the probability that it went via route A. (3 d.p.)

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