Calculate Expected Links and Conditional Probability for Users

Q: Calculate Expected Links and Conditional Probability for Users

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.

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Statistics & Math questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master statistics & math interviews.

Question

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?

Calculate Expected Links and Conditional Probability for Users

Wallet Linking Probabilities

Context

Questions

Solution

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