That's pretty much what I do F2F as well.
Also having the players calculate the odds is a huge time saver. They can then either roll for themselves, or the GM can do it in secret and declare the result (or apparent lack of them).
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If it moves, shoot it, if not push it, if it still doesn't move, use explosives.
Nothing happens in isolation - it's called "the butterfly effect"
Mors ante pudorem
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