{"status": "success", "data": {"description_md": "A fair coin is to be tossed $10$ times. Let $i/j$, in lowest terms, be the probability that heads never occur on consecutive tosses. Find $i+j$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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 fair coin is to be tossed <span class=\"katex--inline\">10</span> times. Let <span class=\"katex--inline\">i/j</span>, in lowest terms, be the probability that heads never occur on consecutive tosses. Find <span class=\"katex--inline\">i+j</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": "1990 AIME Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/90_aime_p10", "prev": "/problem/90_aime_p08"}}