In reply to henwardian:
> A loweroff should have two bolts, not one, always.
> At the average single pitch sport crag, I see as many people top roping as leading and if you want to toprope, leaving the last bolt and anchor clipped is pretty inferior to just having a proper anchor with two bolts.
> You don't have to go far to find people who will tell you about bolts or carabiners that have failed on them (or to have experienced it yourself). I've never yet seen someone being lowered with a klemheist backup for quickdraw retrieval (further still, I'd guess that only a small minority of sport climbers would have ever heard of this technique, let alone used it).
> The chance that a bolt will fail might be low, but there are a hell of a lot of climbers on a hell of a lot of routes, so the math goes something like this: [low probability of failing] x [many climbers] x [many routes] = appreciable risk.
> With two bolts, you are squaring the probability of anchor failure, so the risk becomes tiny: [low probability of failing] x [low probability of failing] x [many climbers] x [many routes] = small risk.
> This is a bit wishy washy, so, if I hypothesis what is probably a high probability of bolt failure: 1 time in 10 000. This would mean that even if you contend that your special, cemented adamantium superbolt is 100 times as safe as a normal bolt, it is still 100 times less safe than a two bolt anchor (assuming that the bolts are sufficiently separated to be considered to have an independent chance of failure).
> Everyone has been at crags where the 8a has bolts every 1.5 metres and the 6a has bolts every 4.5 metres. Single bolt anchors are just an extension of this; lazyness, lack of funds or elitism on behalf of the bolters.
> And no, I have never put in a bolt in my life, before anyone asks ;D
Your argument and your maths are flawed. One correctly installed certified bolt is sufficient. We know this because theoretically this is so and there are no records of failure in practice.