Math Problem Statement

In successive rolls of a pair of fair dice, what is the probability of rolling exactly two sevens before rolling six even numbers?

Solution

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Math Problem Analysis

Mathematical Concepts

Probability Theory
Markov Processes
Combinatorics

Formulas

P(sum of 7) = 6/36 = 1/6
P(even sum) = 18/36 = 1/2

Theorems

Gambler’s Ruin Problem

Suitable Grade Level

Undergraduate