How many coins? - The Sequel

My nearest doughnut stall sells donuts in packs of \(1\), \(2\), or \(5\). I keep on ordering such doughnut packs uniformly at random until I have a total of more than or equal to \(400\) doughnuts.

If the expected number of \(5\) packs I ordered is \(n\), what is the value of \( \left\lfloor 10n\right\rfloor \)?

Thanks to @bobbym none for checking the answers

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