The probability that a new car battery functions for more than 10,000 miles is .8, the probability that it functions for more than 20,000 miles is .4, and the probability that it functions for more than 30,000 miles is .1. If a new car battery is still working after 10,000 miles, what is the probability that
(a) its total life will exceed 20,000 miles?
(b) its additional life will exceed 20,000 miles?
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