Let the following be true:

• p(F) = 3/5
• p(G) = 4/9
• p(H) = 2/3
• p(F|G) = 1/2
• H is independent of G

What is p(G|H)?

p(G|H) =

Give your answer as a simplified fraction or whole number.

Name an axiom, definition, or theorem that plays an important role in solving this problem:

If it is an axiom, write the proper name of the axiom (e.g. "Range").

If it is a definition, name the relevant term (e.g. "Independence").

If it is a theorem, give the theorem's number (e.g. "Theorem 1").

If more than one axiom, definition, or theorem plays an important role, then just name one of them (it won't matter which).