{"status": "success", "data": {"description_md": "Harry the Hamster is put in a maze, and he starts at point $S$. The paths are such that Harry can move forward only in the direction of the arrows. At any junction, he is equally likely to choose any of the forward paths. What is the probability that Harry ends up at $B$?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2005/crops/05_pascal_p20_fig.png\" alt=\"figure\" width=\"269\"></center>\n\n$\\text{(A)}\\ \\frac{2}{3}\\qquad\\text{(B)}\\ \\frac{13}{18}\\qquad\\text{(C)}\\ \\frac{11}{18}\\qquad\\text{(D)}\\ \\frac{1}{3}\\qquad\\text{(E)}\\ \\frac{1}{4}$\n\n___\n\n**[Pascal](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>Harry the Hamster is put in a maze, and he starts at point <span class=\"katex--inline\">S</span>. The paths are such that Harry can move forward only in the direction of the arrows. At any junction, he is equally likely to choose any of the forward paths. What is the probability that Harry ends up at <span class=\"katex--inline\">B</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2005/crops/05_pascal_p20_fig.png\" alt=\"figure\" width=\"269\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ \\frac{2}{3}\\qquad\\text{(B)}\\ \\frac{13}{18}\\qquad\\text{(C)}\\ \\frac{11}{18}\\qquad\\text{(D)}\\ \\frac{1}{3}\\qquad\\text{(E)}\\ \\frac{1}{4}</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2005 Pascal Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/05_pascal_p21", "prev": "/problem/05_pascal_p19"}}