Katkat
Back

Determine Probability of Fourth Good Response After Three Successes

MetaData Scientist · Onsite
MediumData ScientistOnsiteStatistics & Math

Last updated

This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Determine Probability of Fourth Good Response After Three Successes states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

Assessing response quality probabilities for chatbot/LLM outputs.

Question

A bot produces a good response with probability x. Given the first three responses were good, what is the probability the fourth will be good? 2. One LLM shows 70% good responses and another 80%. Perform a hypothesis test to determine if the difference is statistically significant and interpret the result.

Hints

Assume independence for Q1; for Q2 use two-proportion z-test, report test statistic and p-value.