Tim has two irregular coins. The nickel comes up heads two fifths of the time,...

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Accounting

Tim has two irregular coins. The nickel comes up heads two fifths of the time, and the quarter comes up heads two thirds of the time. The nickel is tossed. If the nickel comes up heads, then the quarter is tossed twice. If the nickel comes up tails, the quarter is tossed once. Find the probability that exactly two tails come up. (Round your answer to three decimal places.)

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