Multiple Functions for probability

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$$Pr(V1) =p + p \times Pr(V3)$$

$$Pr(V2) =p \times Pr(V1)$$

$$Pr(V4) =p \times Pr(V2)$$

$$Pr(V3) =q + q \times Pr(V3) + q \times Pr(V1) +q \times Pr(V2)$$

How would I solve for $Pr(V4)$ in maxima or by hand?