Calculate Probability of Wallet Linking Among Users

Q: Calculate Probability of Wallet Linking Among Users

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.

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Question

Wallet Linking Probability

Scenario

There are n users on a platform.
Each user independently links their wallet with probability p (0 ≤ p ≤ 1).
Let A and B denote two specific users.

Questions

What is the probability that at least one of the n users links a wallet?
Conditional on the event that at least one of users A or B links a wallet, what is the probability that both A and B link their wallets?

Calculate Probability of Wallet Linking Among Users

Wallet Linking Probability

Scenario

Questions

Solution

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