A sponsor provides two prizes for a raffle. The first prize winner gets to choose a probability $p$ from $\left[\dfrac{1}{e},1-\dfrac{1}{e}\right]$. A sequence of independent coin flips with probability $p$ for a head are then made. The winner receives $£10$ for each flip up to and including the first head. The same coin is tossed in another independent sequence and the second prize winner receives $£5$ for each flip up to and including the first head in this sequence.

(i) Write down the p.m.f.s of the amounts of the two payments $U$ for the first prize and $V$ for the second prize.

I don't know how to write down the pmfs so that we can differentiate between the first and second prize winner.