{"blocks": [{"key": "cf975bf6", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "71bed492", "text": "Distributing 100 red balls and 100 blue balls into two baskets; one ball is drawn from each basket without replacement.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "da8d0c5f", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "b53ed0ae", "text": "How should the balls be allocated between the two baskets to maximise the probability that both drawn balls are red? Compute that maximum probability.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "0af51583", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "18a6471a", "text": "Let x be red balls in basket A, y in basket B; optimise P(red from A)×P(red from B).", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}