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Mathematics, 26.02.2020 00:15 jeremiahjohnsonclapg

Customers who purchase an aluminum-structured Audi A8 can order an engine in any of three sizes: 2.0L, 2.4L, and 2.8L. Of all Audi A8 cars sold, 45% have the 2.0L engine, 35% have the 2.4L, and 20% have the 2.8L. Of cars with the 2.0L engine, 10% have been found to fail an emissions test within four years of purchase, while 12% of those with the 2.4L engine and 15% of those with the 2.8L engine fail the emissions test within four years. An Audi A8 record for a failed emissions test taken within four years of purchase is chosen at random.

What is the probability that it is for an Audi A8 car with a 2.4L engine?

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