“You avoided the Minotaur and now have another chance”
Answer: 1/11 – With no information, there are 16 equally likely outcomes from 4 coin flips (Head=H, Tails=T).
HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, TTHH, HTHT, THTH, THHT, HTTT, THTT, TTHT, TTTH, TTTT.
Given that there are at least 2 tails, only 11 of these are possible so the probability of TTTT changes to 1/11.
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