self Maths Puzzle

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?

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self Other Question

The first box has two white balls. The second box has two black balls. The third box has a white and a black ball.

Boxes are labeled but all labels are wrong!

You are allowed to open one box, pick one ball at random, see its color and put it back into the box, without seeing the color of the other ball.

How many such operations are necessary to correctly label the boxes?

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?