Engineer wishes to investigate the punctuality of electric trains by considering a number of train journeys. In the sample, 50% of trains had a destination for New York, 20% for Chicago and 30% for Washington DC. The probabilities of a train ariving late in New York, Chicago and Washington DC are 45%, 25% and 30% respectively. If the Engineer picks a train at random from this group of late trains, what is the probability that it terminated in New York?

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