Let \( S \) be a set of \( 5 \) elements and \( P(S) \) denote the power set of \( S \). Let \( E \) be an event of choosing an ordered pair \( (A,B) \) from the set \( P(S)\times P(S) \) such that \( A\cap B=\phi \). If the probability of the event \( E \) is \( \dfrac{3^{p}}{2^{q}} \), where \( p,q\in\mathbb{N} \), then \( p+q \) is equal to ____________ .
