{"status": "success", "data": {"description_md": "A traffic light runs repeatedly through the following cycle: green for $30$ seconds, then yellow for $3$ seconds, and then red for $30$ seconds. Leah picks a random three-second time interval to watch the light. What is the probability that the color changes while she is watching?\n\n$\\mathrm {(A)} \\frac{1}{63}\\qquad \\mathrm {(B)} \\frac{1}{21}\\qquad \\mathrm {(C)} \\frac{1}{10}\\qquad \\mathrm {(D)} \\frac{1}{7}\\qquad \\mathrm {(E)} \\frac{1}{3}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A traffic light runs repeatedly through the following cycle: green for  <span class=\"katex--inline\">30</span>  seconds, then yellow for  <span class=\"katex--inline\">3</span>  seconds, and then red for  <span class=\"katex--inline\">30</span>  seconds. Leah picks a random three-second time interval to watch the light. What is the probability that the color changes while she is watching?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm {(A)} \\frac{1}{63}\\qquad \\mathrm {(B)} \\frac{1}{21}\\qquad \\mathrm {(C)} \\frac{1}{10}\\qquad \\mathrm {(D)} \\frac{1}{7}\\qquad \\mathrm {(E)} \\frac{1}{3}</span> </p>&#10;<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": 3, "problem_name": "2007 AMC 12B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc12B_p14", "prev": "/problem/07_amc12B_p12"}}