Equally likely outcomes

Can you generate a set of random results? Can you fool the random simulator?

Which of these ideas about randomness are actually correct?

Invent a set of three dice where each one is better than one of the others?

What is special about dice?
How can we use dice to explore probability?

What are the likelihoods of different events when you roll a dice?

Can you help d'Alembert discover the probabilty of at least one head in two coin flips?