Calculate Probability of Wallet Linking Among Users
Company: Coinbase
Role: Data Scientist
Category: Statistics & Math
Difficulty: easy
Interview Round: Technical Screen
##### Scenario
Each user independently links a wallet with probability p; the platform has n users.
##### Question
What is the probability that at least one of the n users links a wallet? Given users A and B, if at least one of them links a wallet, what is the probability that both A and B link their wallets?
##### Hints
Use complementary probability for the first part and conditional probability for the second: P(at least one)=1−(1−p)^n, P(A&B | A∪B)=p^2/(2p−p^
2).
Quick Answer: This question evaluates understanding of elementary probability concepts including independent Bernoulli trials, event complements, and conditional probability. It is commonly asked in the Statistics & Math domain to assess reasoning about probabilistic events and conditioning, testing primarily conceptual understanding with straightforward practical computation.