{"blocks": [{"key": "23f13f86", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "4a275356", "text": "Each user independently links a wallet with probability p; the platform has n users.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "dd7e6ba9", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "070cac18", "text": "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?", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "41b58c86", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "5ec1146d", "text": "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).", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}