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The probability that a flight departs Sydney Kingsford Smith Airport on-time is 0.52. If Singapore Airlines flight SQ232 from Sydney to Singapore departs on-time, the

The probability that a flight departs Sydney Kingsford Smith Airport on-time is 0.52. If Singapore Airlines flight SQ232 from Sydney to Singapore departs on-time, the probability that it arrives on-time is 0.69. If it does not depart on-time, then the probability of it arriving on-time is 0.03. If SQ232 arrived late today, what is the probability that is departed on-time?

(NB: We ignore the possibility that a flight arrives early. Thus, a flight can only be on-time or late).

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