{"status": "success", "data": {"description_md": "A box contains $5$ chips, numbered $1, 2, 3, 4,$ and $5$. Chips are drawn randomly one at a time without replacement until the sum of the values drawn exceeds $4$. What is the probability that $3$ draws are required?\n\n$\\textbf{(A) }\\frac{1}{15} \\qquad\n\\textbf{(B) }\\frac{1}{10} \\qquad\n\\textbf{(C) }\\frac{1}{6} \\qquad\n\\textbf{(D) }\\frac{1}{5} \\qquad\n\\textbf{(E) }\\frac{1}{4} \\qquad$", "description_html": "<p>A box contains  <span class=\"katex--inline\">5</span>  chips, numbered  <span class=\"katex--inline\">1, 2, 3, 4,</span>  and  <span class=\"katex--inline\">5</span> . Chips are drawn randomly one at a time without replacement until the sum of the values drawn exceeds  <span class=\"katex--inline\">4</span> . What is the probability that  <span class=\"katex--inline\">3</span>  draws are required?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }\\frac{1}{15} \\qquad\n\\textbf{(B) }\\frac{1}{10} \\qquad\n\\textbf{(C) }\\frac{1}{6} \\qquad\n\\textbf{(D) }\\frac{1}{5} \\qquad\n\\textbf{(E) }\\frac{1}{4} \\qquad</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2018 AMC 10B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p07", "prev": "/problem/18_amc10B_p05"}}