Save the Civilians!

Logic Level 3

While at the beach, Ted buried his friends in the sand with only their heads sticking out, as indicated in the image. Charles could see Ben and Andy only, Ben could see Andy only, and Andy and Donald couldn't see anyone.

Ted showed them 4 caps--2 black, 2 white. Ted then randomly placed these 4 caps on their heads, without showing them the color of their own cap. Without any communication, the 4 friends had to guess the color of the cap on their own head and whisper it into Ted's ear.

Find all of the people with the highest probability of guessing correctly.

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