self Maths Puzzle

There are three Athletes (Alex, Brook and Chris) and their individual Coaches (Murphy, Newlyn and Oakley) standing on the shore.

No Coach trusts their Athlete to be near any other Coach unless they are also with them.

There is a boat that can hold a maximum of two persons.

How can the six people get across the river?

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self Other Question

At a restaurant, how could you choose one out of three desserts with equal probability with the help of a coin?

Bonus: What if the coin is biased and the bias is unknown? Three people enter a room and have a green or blue hat placed on their head. They cannot see their own hat, but can see the other hats.

The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.

They need to guess their own hat color by writing it on a piece of paper, or they can write "pass".

They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.

If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.

What is the best strategy?