\textbf{22 --} In a group of 150 students, 40 bought only a ticket for film ``A'' and 75 bought only a ticket for film ``B''. If $P(A)$ and $P(B)$ are respectively the probabilities of buying a ticket for films ``A'' and ``B'', what is the maximum value of $\dfrac{P(A)}{P(B)}$?
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(1) $\dfrac{15}{29}$ \hfill (2) $\dfrac{38}{45}$ \hfill (3) $\dfrac{8}{15}$ \hfill (4) $\dfrac{15}{22}$
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