The Department of Transport reports that in 2011 there were 22 cyclist deaths per billion km (620,000,000 miles), which works out as one cycling fatality expected every 620,000,000/22 = 28,000,000 miles [see page 234 of
this report, eventually found through the shambolic chaos of the government statistics web-links]. Of course Boris-bike users are not average: they are probably somewhat higher risk since in London and include inexperienced tourists, compensated by being lower risk by not being very old or young, and cycling extremely heavy and slow bikes. They also rarely wear cycle helmets, but I am not getting into that
tricky area .
If we very crudely assume these factors cancel out and Boris bike trips are of average risk, then to have a fatal accident after 34,000,000 miles is, unfortunately, not surprising. In fact, very roughly, there is perhaps less than 30% chance that it would have taken this long.