{"status": "success", "data": {"description_md": "Three red beads, two white beads, and one blue bead are placed in line in random order. What is the probability that no two neighboring beads are the same color?\n\n$\\mathrm{(A)}\\ 1/12\\qquad\\mathrm{(B)}\\ 1/10\\qquad\\mathrm{(C)}\\ 1/6\\qquad\\mathrm{(D)}\\ 1/3\\qquad\\mathrm{(E)}\\ 1/2$", "description_html": "<p>Three red beads, two white beads, and one blue bead are placed in line in random order. What is the probability that no two neighboring beads are the same color?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 1/12\\qquad\\mathrm{(B)}\\ 1/10\\qquad\\mathrm{(C)}\\ 1/6\\qquad\\mathrm{(D)}\\ 1/3\\qquad\\mathrm{(E)}\\ 1/2</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": "2008 AMC 10B Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p23", "prev": "/problem/08_amc10B_p21"}}