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This is a easy difficulty Statistics & Math question, commonly asked during Technical Screen rounds at Coinbase.

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This question is commonly asked for Data Scientist candidates at Coinbase during technical interviews.

Determine Conditions for Multiplying Event Probabilities in Statistics

Last updated: Mar 29, 2026

Quick 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).

easy
Coinbase
Statistics & Math
Data Scientist

Coinbase

Aug 4, 2025, 10:55 AM

Data Scientist

Technical Screen

Statistics & Math

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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