I've had terrible luck with getting TM's, but yes, I got a fast one from a solo Muk takedown.
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Yes you could.
Currently had defeated 4 level 4 raid, only have 1 TMs, so i will say is all about luck.
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I got one from taking down a Magicarp
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Yes but less likely compared to Lv 4 raids.
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Source? I didn't think the raid level has anything to do with the chance of getting a TM.
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There is more items drops from lvl4 boss, so it's more likely to get everything
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I got a fast tm on my first raid! Haven't seen one since... I've done one raid a day.
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I've only gotten one out of five successful raids (it was a level 3). Today, my daughter and I defeated a level 3 boss, and I got no TM's, but she got TWO charge TM's.