{"common":{"save":0,"post_id":"8342","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6222","post_id":"8342","mon_id":"1159285","chapter_id":"1159383","question":"<p>Cho hai bi\u1ebfn c\u1ed1 A&nbsp;v&agrave; B, v\u1edbi <span class=\"math-tex\">$P(A)=0,6$<\/span>,&nbsp;<span class=\"math-tex\">$P(B)=0,7$<\/span>,&nbsp;<span class=\"math-tex\">$P(AB)=0,3$<\/span>. Khi \u0111&oacute;&nbsp;<span class=\"math-tex\">$P(\\overline{B}|A)$<\/span>&nbsp;b\u1eb1ng:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{3}{7}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{2}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{6}{7}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{7}$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{1}{2}$<\/span><\/span><\/p><p><span class=\"math-tex\">$P(B|A)=\\dfrac{P(AB)}{P(A)}=\\dfrac{0,3}{0,6}=\\dfrac{1}{2}$<\/span>.<\/p><p>Suy ra&nbsp;<span class=\"math-tex\">$P(\\overline{B}|A)=1-P(B|A)=\\dfrac{1}{2}$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2025-01-19 16:31:22","option_type":"math","len":0},{"id":"6224","post_id":"8342","mon_id":"1159285","chapter_id":"1159383","question":"<p>Cho hai bi\u1ebfn c\u1ed1 A&nbsp;v&agrave; B, v\u1edbi <span class=\"math-tex\">$P(A)=0,6$<\/span>,&nbsp;<span class=\"math-tex\">$P(B)=0,7$<\/span>,&nbsp;<span class=\"math-tex\">$P(AB)=0,3$<\/span>. Khi \u0111&oacute;&nbsp;<span class=\"math-tex\">$P(\\overline{A}B)$<\/span>&nbsp;b\u1eb1ng:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{2}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{4}{7}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{2}{5}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{7}$<\/span>"],"correct":"3","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{2}{5}$<\/span><\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$P(\\overline{A}|B)=\\dfrac{P(\\overline{A}B)}{P(B)}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$P(\\overline{A}B)=P(\\overline{A}|B).P(B)$<\/span>.<\/p><p>M&agrave;&nbsp;<span class=\"math-tex\">$P(A|B)=\\dfrac{P(AB)}{P(B)}=\\dfrac{0,3}{0,7}=\\dfrac{3}{7}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$P(\\overline{A}|B)=1-P(A|B)=\\dfrac{4}{7}$<\/span>.<\/p><p>Do \u0111&oacute;&nbsp;<span class=\"math-tex\">$P(\\overline{A}B)=P(\\overline{A}|B).P(B)=\\dfrac{4}{7}.0,7=\\dfrac{2}{5}$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2025-01-19 16:35:58","option_type":"math","len":0},{"id":"6225","post_id":"8342","mon_id":"1159285","chapter_id":"1159383","question":"<p>Cho hai bi\u1ebfn c\u1ed1 A&nbsp;v&agrave; B, v\u1edbi <span class=\"math-tex\">$P(A)=0,8$<\/span>,&nbsp;<span class=\"math-tex\">$P(B)=0,65$<\/span>,&nbsp;<span class=\"math-tex\">$P(A\\overline{B})=0,55$<\/span>. Khi \u0111&oacute;&nbsp;<span class=\"math-tex\">$P(AB)$<\/span>&nbsp;b\u1eb1ng:<\/p>","options":["<strong>A.<\/strong> 0,25","<strong>B.<\/strong> 0,1","<strong>C.<\/strong> 0,15","<strong>D.<\/strong> 0,35"],"correct":"1","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;0,25<\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$P(A\\overline{B})+P(AB)=P(A)$<\/span><\/p><p>&rArr;&nbsp;<span class=\"math-tex\">$P(AB)=P(A)-P(A\\overline{B})=0,8-0,55=0,25$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2025-01-19 16:42:22","option_type":"txt","len":0}]}