I might be about to make an "ass out of u and me" when I _assume_ that the two engines in your scenario are "fair" meaning they are unique and the probability of failure is not dependent on another. I think this is the correct assumption - unless you consider fuel delivery, electrical, or control issues - which will screw you and should be properly designed with redundancy and complexity (and cost) of the systems.
If that is true - and feel free to argue if its wrong - then Blu - adding a second engine does not "double" your chances of engine failure. In fact it drastically decreases your chances of having a bad day.
Consider for the sake of argument that the probability of failure of an engine is 1 in a million or 1/1,000,000. Probability of engine working is the inverse then 999,999/1,000,000.
The math works like this:
The are only 4 possible outcomes - only 1 of which means you have a bad day. Again assuming the plane climbs or maintains altitude (critical engine) with a single engine.
1) Engine 1 works, Engine 2 works
2) Engine 1 fails, Engine 2 works
3) Engine 1 works, Engine 2 fails
4) Engine 1 fails, Engine2 fails
Probability of outcome 1 is: (999,999/1,000,000) * (999,999/1,000,000) = 99.9998% - have a good day
Probability of outcome 2 is: (1/1,000,000) * (999,999/1,000,000) = 0.0000999999% - clean your drawers scared shitless
Probability of outcome 3 is: (999,999/1,000,000) * (1/1,000,000) = 0.0000999999% - clean your drawers scared shitless
Probability of outcome 4 is: (1/1,000,000) * (1/1,000,000) = 0.0000000001% - fly it all the way to the crash site
In single engine, the math is easier. Only 2 outcomes:
1) Engine works
2) Engine fails
Probability of 1 is: 999,999/1,000,000 = 99.9999% - have a good day
Probability of 2 is: 1/1,000,000 = 0.001% - fly it all the way to the crash site
So we should all be flying twins..... Preferably push-pull reciprocals.
Okay, ready, aim, fire!
Last edited by
soyAnarchisto on Tue Aug 14, 2012 7:44 pm, edited 1 time in total.