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AMC 10B 2022 #12 — Dice Sum 7 Probability

1650AdeptCombinatoricsProbability

AMC 10B · 2022 · Problem 12

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 $\frac{1}{2}$?

Answer choices

A
2
B
3
C
4
D
5
E
6
4 students attempted0% solvedRating 1650

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AMC 10 PracticeAlgebra, geometry, counting, and number theory practice.AMC 10 vs AMC 12Choose the right practice path and difficulty level.AIME Practice StrategyHow to improve accuracy on high-difficulty problems.

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