Calculate Expected Links and Conditional Probability for Users
Overview
This question evaluates understanding of basic probability concepts including expectations for independent Bernoulli trials, event probabilities, and conditional probability in a finite user population, and falls under the Statistics & Math domain.
Coinbase
Aug 4, 2025, 10:55 AM
Data Scientist
Technical Screen
Statistics & Math
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Wallet Linking Probabilities
Context
Each of n users independently links their Coinbase wallet with probability p. Let A and B denote two specific users from this population.
Questions
- What is the expected number of users who link?
- What is the probability that at least one user links?
- What is the probability that both A and B link, conditioned on at least one of them linking?
Solution
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