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Of six cars produced at a particular factory between 8 and 10 a. last Monday morning, test runs, revealed three of them to be "lemons.

Of six cars produced at a particular factory between 8 and 10 a.m. last Monday morning, test runs, revealed three of them to be “lemons.” Nevertheless, three of the six cars were shipped to dealer A and the other three to dealer B. Dealer A received all three lemons. What is the probability of this event occurring if, in fact, the three cars shipped to dealer A were selected at random from the six produced?

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