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Andy has three ways of getting school. 30 % of the time he travels by car 20 % of the time he rides his bicycle

Andy has three ways of getting school. 30 % of the time he travels by car 20 % of the time he rides his bicycle and 50 % of the time he walks. When travelling by car Andy is late 5% of the time. When riding his bicycle he is late 10% of the time. When walking he is late 25 % of the time. Given that he was on time find the probability that he rides his bicycle

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