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You have a device that wants to transmit many packets to a router, which is sometimes busy serving other users. At every second, your device

You have a device that wants to transmit many packets to a router, which is sometimes busy serving other users. At every second, your device attempts to send a packet. It succeeds with probability 1/5 and the success of any attempt is independent of the success of other attempts.What is the probability that the first packet gets through in 3 or fewer attempts? (Please enter your answer up to the first three significant decimal places.)

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