{"status": "success", "data": {"description_md": "Juan rolls a fair regular octahedral die marked with the numbers $1$ through $8$. Then Amal rolls a fair six-sided die. What is the probability that the product of the two rolls is a multiple of 3?\n\n$\\mathrm{(A)}\\ \\frac1{12}<br>\\qquad\\mathrm{(B)}\\ \\frac 13<br>\\qquad\\mathrm{(C)}\\ \\frac 12<br>\\qquad\\mathrm{(D)}\\  \\frac 7{12}<br>\\qquad\\mathrm{(E)}\\ \\frac 23$\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>Juan rolls a fair regular octahedral die marked with the numbers  <span class=\"katex--inline\">1</span>  through  <span class=\"katex--inline\">8</span> . Then Amal rolls a fair six-sided die. What is the probability that the product of the two rolls is a multiple of 3?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\frac1{12}\\qquad\\mathrm{(B)}\\ \\frac 13\\qquad\\mathrm{(C)}\\ \\frac 12\\qquad\\mathrm{(D)}\\  \\frac 7{12}\\qquad\\mathrm{(E)}\\ \\frac 23</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": "2002 AMC 12B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p17", "prev": "/problem/02_amc12B_p15"}}