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Douglas_Knight comments on Help: Is there a quick and dirty way to explain quantum immortality? - Less Wrong Discussion
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How much background do you have in the relevant nerdy stuff though? This is someone who can basically be described as the polar opposite of a nerd. She'd never heard of the idea of multiple timelines/realities except really vaguely from mainstream pop culture, has no idea about quantum or any other types of physics, and afaik has never played a computer game in her life. I would also bet that she's never watched any hard sci fi.
Basically I am curious as to whether it's a problem of inferential distance or whether I just didn't explain it clearly enough :p
As for why you should care, depends on how you view continuity of identity.
Before you get to exotic* applications of quantum mechanics, you should cover the basics. Quantum mechanics forces a view of personal identity that treats the many words equally. This is true even if you endorse collapse, as long as people can occasionally be put in superposition.
In a classical world with randomness, you could imagine that there are lots of parallel copies of people, each with a serial number ("indexical uncertainty") who march in parallel until random events occur whose outcome is determined by the serial number. In such a setting, you could imagine that the invisible serial number is a core part of the person's consciousness and there is no continuity of identity between them. But QM says that quantum sources of randomness are not like that. It is not meaningful to talk of which parallel person gets which result.
* a euphemism for "wrong."