{"blocks": [{"key": "eaa89e1f", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "2bae89f8", "text": "Estimating conversion probabilities for ad impressions using basic probability theory.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "b6b458c7", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "658ae4d3", "text": "Prior: P(convert)=2%. Conditional: P(convert|male)=3%, P(convert|female)=1%. After observing the user is male, compute the updated conversion probability and explain the formula. If an ad converts, what is the probability the user is male? Show your steps.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "63aad3c8", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "00623e02", "text": "Apply the law of total probability and Bayes’ rule clearly.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}