But faking does not have the same expectation of success. There’s always a chance that the fake may be discovered, whereas if you do it for real, there is no such chance.
But that can happen if it’s actually fake too—getting the right answer from the wrong argument is hardly unprecedented. In any case, the odds of it being believed to be fake(with the consequent effects on Dumbledore’s reputation as someone who is willing to go to great lengths to protect the Order’s families) go up if it’s actually fake.
But faking does not have the same expectation of success. There’s always a chance that the fake may be discovered, whereas if you do it for real, there is no such chance.
Trivially true only if you’re not counting the chance of the real death being erroneously discovered to be a fake.
But that can happen if it’s actually fake too—getting the right answer from the wrong argument is hardly unprecedented. In any case, the odds of it being believed to be fake(with the consequent effects on Dumbledore’s reputation as someone who is willing to go to great lengths to protect the Order’s families) go up if it’s actually fake.