# Probability of a Match

**Discrete Mathematics**Level 5

Teams India and Australia play a series of 7 matches. Each team has an equal probability of winning a match, and no match ends in a draw. If the probability that Team India wins at least three consecutive matches can be expressed as \( \dfrac pq\), where \(p\) and \(q\) are coprime positive integers, find \(p+q\).