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Isn't it improbable that Mars life would work entirely different, since Mars isn't that unlike Earth? It's not a ball of ice or anything.
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A random series of events led to certain self-replicating molecules being created. Those molecules replicated many, many times and occassionally had randomised variations that replicated faster. Then different molecules clumped together to form cells that replicated as a group. Then cells clumped together for convenience, later combining with different clumped cells to produce a larger organism. And so on and so forth until you're sitting there, reading your computer.
But if the first random series of events were different, you'd end up with something completely different. Even if the early conditions were identical, it's ridiculously unlikely for life to have evolved in exactly the same way from scratch. So if there were life on Mars, they'd
probably be carbon-based and have similar proportions of Hydrogen, Oxygen, and so forth. But the exact mechanism of DNA and RNA is only going to be in use there if we share a common ancestor.