  We introduce a betting game, where the gambler aims to guess the last success
epoch from past observed data. The player may bet on the event that no further
successes occur, or choose a `trap' which is any span of future times. In the
latter case winning is achieved if the last success turns out to be the only
one falling in the trap. The game is closely related to the sequential decision
problem of maximising the probability of stopping on the last success in a
finite sequence of trials. We use this connection to analyse the problem of
stopping at the last record for trials paced by a Polya-Lundberg process with
log-series distribution of the total number of trials.
