The way this question reads it will be heads with probability 0.5 and tails withOriginally Posted by bharathlece
probability 0.5. But we must suspect that something else was intended, if so
the intention has been lost somewhere.
That the coins are fair, and that flipping even once randomises a coinsOriginally Posted by bharathlece
orientation. So knowledge of the orientation of the other coins tell you nothing
about the orientation of the last coin, and after they have all been flipped
at least once their orientations are unrelated and randomised.
I am inclined to believe this to be a "trick question", its deception being drawn from its ambiguous delivery. At first reading, it seemed (to me) that the coins were gathered up from their initial positions as 6 H and 4T, and reflipped. The trickster, expecting the trickee to assume just that, further expects such assumption to confound his unsuspecting victim. But no mention of a reflip was made. That being the case, the hidden coin is facing heads up.