Art of Problem Solving
Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2022 AMC 12B Problems/Problem 12

Revision as of 18:54, 17 November 2022 by Connor132435 (talk | contribs) (→Problem)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

A pair of fair 6-sided dice is rolled $n$ times. What is the least value of $n$ such that the probability that the sum of the numbers face up on a roll equals $7$ at least once is greater than $\tfrac{1}{2}$?

$\textbf{(A)}\ 2 \qquad\textbf{(B)}\ 3 \qquad\textbf{(C)}\ 4 \qquad\textbf{(D)}\ 5 \qquad\textbf{(E)}\ 6$

Retrieved from "https://wiki.aopstest.com/wiki/index.php?title=2022_AMC_12B_Problems/Problem_12&oldid=182051"