{"status": "success", "data": {"description_md": "Eric chooses two distinct integers $a$ and $b$ between $1$ and $10$, inclusive. What is the probability that $\\gcd(a, b) = 1$?\n\n$(\\textbf{A})\\;\\dfrac{32}{45}\\quad(\\textbf{B})\\;\\dfrac{2}{3}\\quad(\\textbf{C})\\;\\dfrac{31}{45}\\quad(\\textbf{D})\\;\\dfrac{31}{46}\\quad(\\textbf{E})\\;\\dfrac{7}{9}$\n\n**Enter your answer as a capital letter.**", "description_html": "<p>Eric chooses two distinct integers <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> between <span class=\"katex--inline\">1</span> and <span class=\"katex--inline\">10</span>, inclusive. What is the probability that <span class=\"katex--inline\">\\gcd(a, b) = 1</span>?</p>&#10;<p><span class=\"katex--inline\">(\\textbf{A})\\;\\dfrac{32}{45}\\quad(\\textbf{B})\\;\\dfrac{2}{3}\\quad(\\textbf{C})\\;\\dfrac{31}{45}\\quad(\\textbf{D})\\;\\dfrac{31}{46}\\quad(\\textbf{E})\\;\\dfrac{7}{9}</span></p>&#10;<p><strong>Enter your answer as a capital letter.</strong></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "Mock AMC 8 #1 - Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/amc8mock1-p09", "prev": "/problem/amc8mock1-p07"}}