Mối liên hệ giữa xác suất thực nghiệm với xác suất và ứng dụng

Home Lớp 8 Toán lớp 8 - Sách Kết nối tri thức Bài 32. Mối liên hệ giữa xác suất thực nghiệm với xác suất và ứng dụngBài tập nâng cao

{"common":{"save":0,"post_id":"6675","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7046","post_id":"6675","mon_id":"1158921","chapter_id":"1158935","question":"Xét nghi\u1ec7m máu cho 150 ng\u01b0\u1eddi \u0111\u01b0\u1ee3c ch\u1ecdn ng\u1eabu nhiên t\u1eeb m\u1ed9t khu v\u1ef1c thì th\u1ea5y có 65 ng\u01b0\u1eddi có nhóm máu O. G\u1ecdi A là bi\u1ebfn c\u1ed1 "M\u1ed9t ng\u01b0\u1eddi \u0111\u01b0\u1ee3c l\u1ef1a ch\u1ecdn ng\u1eabu nhiên \u1edf khu v\u1ef1c có nhóm máu O". Hãy \u01b0\u1edbc l\u01b0\u1ee3ng xác su\u1ea5t c\u1ee7a bi\u1ebfn c\u1ed1 A.<\/p>","options":["A.<\/strong> $\\dfrac{17}{30}$<\/span>","B.<\/strong> $\\dfrac{13}{30}$<\/span>","C.<\/strong> $\\dfrac{13}{40}$<\/span>","D.<\/strong> $\\dfrac{13}{20}$<\/span>"],"correct":"2","level":"3","hint":"","answer":"Vì trong 150 ng\u01b0\u1eddi \u0111\u01b0\u1ee3c ch\u1ecdn ng\u1eabu nhiên t\u1eeb m\u1ed9t khu v\u1ef1c thì th\u1ea5y có 65 ng\u01b0\u1eddi có nhóm máu O nên xác su\u1ea5t th\u1ef1c nghi\u1ec7m c\u1ee7a bi\u1ebfn c\u1ed1 A là:<\/p>$\\dfrac{65}{150}=\\dfrac{13}{30}$<\/span><\/p>Do \u0111ó xác su\u1ea5t c\u1ee7a bi\u1ebfn c\u1ed1 A \u0111\u01b0\u1ee3c \u01b0\u1edbc l\u01b0\u1ee3ng là: $\\dfrac{13}{30}$<\/span><\/p>Ch\u1ecdn B.<\/strong> $\\dfrac{13}{30}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-14 01:26:33","option_type":"math","len":0},{"id":"7048","post_id":"6675","mon_id":"1158921","chapter_id":"1158935","question":"Xét nghi\u1ec7m máu cho 150 ng\u01b0\u1eddi \u0111\u01b0\u1ee3c ch\u1ecdn ng\u1eabu nhiên t\u1eeb m\u1ed9t khu v\u1ef1c thì th\u1ea5y có 65 ng\u01b0\u1eddi có nhóm máu O. Bi\u1ebft dân s\u1ed1 c\u1ee7a khu v\u1ef1c \u0111ó là 12 000 ng\u01b0\u1eddi. H\u1ecfi trong khu v\u1ef1c \u0111ó có kho\u1ea3ng bao nhiêu ng\u01b0\u1eddi có nhóm máu O?<\/p>","options":["A.<\/strong> 500 ng\u01b0\u1eddi","B.<\/strong> 5200 ng\u01b0\u1eddi","C.<\/strong> 6200 ng\u01b0\u1eddi","D.<\/strong> 7000 ng\u01b0\u1eddi"],"correct":"2","level":"3","hint":"","answer":"G\u1ecdi A là bi\u1ebfn c\u1ed1 "M\u1ed9t ng\u01b0\u1eddi \u0111\u01b0\u1ee3c l\u1ef1a ch\u1ecdn ng\u1eabu nhiên \u1edf khu v\u1ef1c có nhóm máu O". <\/p>Vì trong 150 ng\u01b0\u1eddi \u0111\u01b0\u1ee3c ch\u1ecdn ng\u1eabu nhiên t\u1eeb m\u1ed9t khu v\u1ef1c thì th\u1ea5y có 65 ng\u01b0\u1eddi có nhóm máu O nên xác su\u1ea5t th\u1ef1c nghi\u1ec7m c\u1ee7a bi\u1ebfn c\u1ed1 A là: $\\dfrac{65}{150}=\\dfrac{13}{30}$<\/span><\/p>Do \u0111ó xác su\u1ea5t c\u1ee7a bi\u1ebfn c\u1ed1 A \u0111\u01b0\u1ee3c \u01b0\u1edbc l\u01b0\u1ee3ng là: $\\dfrac{13}{30}$<\/span><\/p>V\u1eady trong khu v\u1ef1c \u0111ó có kho\u1ea3ng s\u1ed1 ng\u01b0\u1eddi có nhóm máu O là:<\/p>$\\dfrac{13}{30}$<\/span> . 12 000 = 5200 (ng\u01b0\u1eddi)<\/p>Ch\u1ecdn B.<\/strong> 5200 ng\u01b0\u1eddi<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-14 01:32:50","option_type":"txt","len":1},{"id":"7049","post_id":"6675","mon_id":"1158921","chapter_id":"1158935","question":"M\u1ed9t h\u1ed9p có 4 cây bút xanh, 3 cây bút \u0111en và 2 cây bút \u0111\u1ecf có cùng kích th\u01b0\u1edbc và kh\u1ed1i l\u01b0\u1ee3ng. Mai ch\u1ecdn ra ng\u1eabu nhiên 1 cây bút t\u1eeb trong h\u1ed9p, xem bút có màu gì và tr\u1ea3 l\u1ea1i vào h\u1ed9p. Mai l\u1eb7p l\u1ea1i thí nghi\u1ec7m trên 120 l\u1ea7n \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 trong b\u1ea3ng sau:<\/p><svg height=\"80\" width=\"340\"> <g><title><\/title><rect fill=\"#fff\" height=\"82\" id=\"canvas_background\" width=\"342\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_15\"> <rect fill=\"#ffff56\" height=\"78\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" width=\"112\" x=\"6.00001\" y=\"0.81\"><\/rect> <rect fill=\"#ffffff\" height=\"78\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\" width=\"73\" x=\"117.00001\" y=\"0.81\"><\/rect> <rect fill=\"#ffffff\" height=\"78\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"1.5\" width=\"73\" x=\"188.00001\" y=\"0.81\"><\/rect> <rect fill=\"#ffffff\" height=\"78\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"1.5\" width=\"73\" x=\"261.00001\" y=\"0.81\"><\/rect> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"6.00001\" x2=\"334.00001\" y1=\"36.81\" y2=\"37\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"17.00001\" xml:space=\"preserve\" y=\"27.81\">Bút màu<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"25.00001\" xml:space=\"preserve\" y=\"67.81\">S\u1ed1 l\u1ea7n<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"124.00001\" xml:space=\"preserve\" y=\"26.81\">Xanh<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"205.00001\" xml:space=\"preserve\" y=\"26.81\">\u0110en<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"280.00001\" xml:space=\"preserve\" y=\"26.81\">\u0110\u1ecf<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"137.00001\" xml:space=\"preserve\" y=\"64.81001\">53<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"212.00001\" xml:space=\"preserve\" y=\"64.81\">40<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"286.00001\" xml:space=\"preserve\" y=\"64.81\">27<\/text> <\/g> <\/g> <\/svg><\/span><\/p>Tính xác su\u1ea5t th\u1ef1c nghi\u1ec7m c\u1ee7a bi\u1ebfn c\u1ed1 E: "L\u1ea5y \u0111\u01b0\u1ee3c bút có màu \u0111\u1ecf".<\/p>","options":["A.<\/strong> $\\dfrac{11}{40}$<\/span>","B.<\/strong> $\\dfrac{9}{41}$<\/span>","C.<\/strong> $\\dfrac{9}{39}$<\/span>","D.<\/strong> $\\dfrac{9}{40}$<\/span>"],"correct":"4","level":"3","hint":"","answer":"Trong 120 l\u1ea7n thí nghi\u1ec7m có 27 l\u1ea7n l\u1ea5y \u0111\u01b0\u1ee3c bút màu \u0111\u1ecf nên xác su\u1ea5t th\u1ef1c nghi\u1ec7m c\u1ee7a bi\u1ebfn c\u1ed1 E: "L\u1ea5y \u0111\u01b0\u1ee3c bút có màu \u0111\u1ecf" là: <\/p>$\\dfrac{27}{120}=\\dfrac{9}{40}$<\/span><\/p>Ch\u1ecdn D.<\/strong> $\\dfrac{9}{40}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-14 01:43:25","option_type":"math","len":0}]}