Determine Conditions for Multiplying Event Probabilities in Statistics
Overview
This question evaluates understanding of probabilistic independence and factorization in probability theory, focusing on risk-event joint probabilities within statistics and risk modeling (Statistics & Math).
Coinbase
Aug 4, 2025, 10:55 AM
Data Scientist
Technical Screen
Statistics & Math
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Scenario
You are modeling multiple, distinct risk events in Coinbase Wallet (e.g., E1, E2, …, En) and want the probability that all occur, or that none occur.
Question
Under what statistical hypothesis can you multiply individual event probabilities to compute:
- P(all occur) = ∏ P(Ei), and
- P(none occur) = ∏ (1 − P(Ei))?
Solution
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