{"status": "success", "data": {"description_md": "Debra flips a fair coin repeatedly, keeping track of how many heads and how many tails she has seen in total, until she gets either two heads in a row or two tails in a row, at which point she stops flipping. What is the probability that she gets two heads in a row but she sees a second tail before she sees a second head?\n\n$\\textbf{(A) } \\frac{1}{36} \\qquad \\textbf{(B) } \\frac{1}{24} \\qquad \\textbf{(C) } \\frac{1}{18} \\qquad \\textbf{(D) } \\frac{1}{12} \\qquad \\textbf{(E) } \\frac{1}{6}$", "description_html": "<p>Debra flips a fair coin repeatedly, keeping track of how many heads and how many tails she has seen in total, until she gets either two heads in a row or two tails in a row, at which point she stops flipping. What is the probability that she gets two heads in a row but she sees a second tail before she sees a second head?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac{1}{36} \\qquad \\textbf{(B) } \\frac{1}{24} \\qquad \\textbf{(C) } \\frac{1}{18} \\qquad \\textbf{(D) } \\frac{1}{12} \\qquad \\textbf{(E) } \\frac{1}{6}</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": 4, "problem_name": "2019 AMC 10B Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10B_p22", "prev": "/problem/19_amc10B_p20"}}