{"common":{"save":0,"post_id":"8760","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6340","post_id":"8760","mon_id":"1159285","chapter_id":"1159383","question":"<p>Cho hai bi\u1ebfn c\u1ed1 A, B sao cho P(A) = 0,3; P(B) = 0,6 và P(A|B) = 0,2. Tính P(B|A).<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{5}{24}$<\/span>.","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{2}{5}$<\/span>.","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{4}{25}$<\/span>.","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{4}$<\/span>."],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{2}{5}$<\/span>.<\/span><\/p><p>Ta có: <span class=\"math-tex\">$P(B|A)=\\dfrac{P(B).P(A|B)}{P(A)}=\\dfrac{0,6.0,2}{0,3}=\\dfrac{2}{5}$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2025-04-06 11:20:10","option_type":"math","len":0},{"id":"6342","post_id":"8760","mon_id":"1159285","chapter_id":"1159383","question":"<p>Cho hai bi\u1ebfn c\u1ed1 A, B có P(B) = 0,6; P(A∩B) = 0,2. Xác su\u1ea5t P(A|B) b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{3}$<\/span>.","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{2}{7}$<\/span>.","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{3}{7}$<\/span>.","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{2}$<\/span>."],"correct":"1","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{3}$<\/span>.<\/span><\/p><p>Ta có: <span class=\"math-tex\">$P(A|B)=\\dfrac{P(A\\cap B)}{P(B)}=\\dfrac{0,2}{0,6}=\\dfrac{1}{3}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2025-04-06 11:25:43","option_type":"math","len":0},{"id":"6343","post_id":"8760","mon_id":"1159285","chapter_id":"1159383","question":"<p>Cho hai bi\u1ebfn c\u1ed1 A, B có P(B) = 0,8, P(A∩B) = 0,1. K\u1ebft qu\u1ea3 c\u1ee7a xác su\u1ea5t P(A|B) b\u1eb1ng bao nhiêu?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{6}$<\/span>.","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{3}{7}$<\/span>.","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{3}{5}$<\/span>.","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{8}$<\/span>."],"correct":"4","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{8}$<\/span>.<\/span><\/p><p>Ta có: <span class=\"math-tex\">$P(A|B)=\\dfrac{P(A\\cap B)}{P(B)}=\\dfrac{0,1}{0,8}=\\dfrac{1}{8}$<\/span>.<\/p>","type":"choose","extra_type":"cloud","user_id":"131","test":"0","date":"2025-04-06 11:29:21","option_type":"math","len":0}]}