{"status": "success", "data": {"description_md": "For a particular peculiar pair of dice, the probabilities of rolling $1$, $2$, $3$, $4$, $5$ and $6$ on each die are in the ratio $1:2:3:4:5:6$. What is the probability of rolling a total of $7$ on the two dice?\n\n$\\mathrm{(A)}\\ \\frac 4{63}
\\qquad
\\mathrm{(B)}\\ \\frac 18
\\qquad
\\mathrm{(C)}\\ \\frac 8{63}
\\qquad
\\mathrm{(D)}\\ \\frac 16
\\qquad
\\mathrm{(E)}\\ \\frac 27$\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": "

For a particular peculiar pair of dice, the probabilities of rolling 1 , 2 , 3 , 4 , 5 and 6 on each die are in the ratio 1:2:3:4:5:6 . What is the probability of rolling a total of 7 on the two dice?

\\mathrm{(A)}\\ \\frac 4{63}\\qquad\\mathrm{(B)}\\ \\frac 18 \\qquad\\mathrm{(C)}\\ \\frac 8{63}\\qquad\\mathrm{(D)}\\ \\frac 16\\qquad\\mathrm{(E)}\\ \\frac 27

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2006 AMC 12B Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc12B_p18", "prev": "/problem/06_amc12B_p16"}}