Retries under a hard cap
A trade-submission bot retries a flaky endpoint: each attempt independently succeeds with probability , and it stops the moment one succeeds. But it is allowed at most attempts — after a third failure it gives up. What is the expected number of attempts it makes? (to 2 decimals)
Show hints (2)+
- A truncated geometric: the uncapped mean is too large because the cap chops the tail.
- Use with .
Answer
Reveal answer →Final answer
1.96
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Asked at: Jane Street, Akuna Capital