A witness testifies that the taxicab that struck and injured Smith in a dark alley was green. There are three taxi companies in town: Green, Blue and White. On investigation, the attorney for Green Taxi Company discovers that a random sample of people can correctly distinguish Blue and Green taxis from one another80% of the time (people can always correctly distinguish White taxis). Green operates 20% of all local taxis, while Blue and White each operate 40%. Based on the witness' testimony, what is the probability that the cab which struck Smith was actually green?(Round your answer to the nearest 10%.)

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