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Assume there's a threshold at which sending the ship for repairs is morally obligatory (if we're utilitarians, that is the point at which the cost of the repairs is less than the probability*expected cost of the ship sinking, taking into account the lives aboard, but the threshold needn't be utilitarian for this to work.)
Let's say that the threshold is 5% - if there's more than a 5% chance the ship will go down, you should get it repaired.
Mr. Grumpy's thought process seems to be 'I alieve that my ship will sink, but this alief is harmful and I should avoid it'. He is morally justified in quelling his nightmares, but he'd be morally unjustified if in doing so he rationalized away his belief 'there's a 10% chance my ship will sink' to arrive at 'there's a 3% chance my ship will sink' and thereby did not do the repairs.
Likewise, it's great that Mr. Happy doesn't want to worry, but if you asked him to bet on the ship going down, what odds would he demand? If he thinks that the probability of his ship going down is greater than 5%, then he should have gotten it refitted. If he knows he has a bias toward neglecting negative events, and he knows that his estimate of 1% is probably the result of rationalization rather than reasoning, he should get someone else to estimate or he should correct his estimate for this known bias of his.
Mr. Doc looks at this probability and deems it acceptable (so, presumably, below our action threshold). He is not guilty of anything.
Sorry, I am unwilling to assume any such thing. I would prefer a bit more realistic scenario where there is no well-known and universally accepted threshold. The condition of ships is uncertain, different people can give different estimates of that condition, and different people would choose different actions even on the basis of the same estimate.
In particular,
M... (read more)