The Question Asks for: P(H2|H1)
P(H2|H1) = P[H2 n H1]/P[H1]
So: P[H1] = Integral from 0 to 1 q(2q)dq
P(H2 n H1) = Integral from 0 to 1 q^2(2q)dq
Solve for both and plug into orginal equation P(H2|H1).
The Question Asks for: P(H2|H1)
P(H2|H1) = P[H2 n H1]/P[H1]
So: P[H1] = Integral from 0 to 1 q(2q)dq
P(H2 n H1) = Integral from 0 to 1 q^2(2q)dq
Solve for both and plug into orginal equation P(H2|H1).