But why bother?

A recent paper (arxiv.org/PS_cache/arxiv/pdf/1009/1009.4698v1.pdf) addresses the issue of an infinitely expanding universe and that in such a scenario even the most unlikely events will eventually occur - and not only occur, but occur an infinite number of times. One solution to this problem, according to Bousso et al, is that time itself will eventually end. Then there would be a finite number of events that occur, with the improbable events occurring less often than the probable events. The physicists have attempted to calculate the probability of when time will end. In two of these scenarios, time has a 50% chance of ending within 3.7 billion years. In two other scenarios, time has a 50% chance of ending within 3.3 billion years.