Conditional probability

A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?

By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?

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

How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?

Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?

Use cunning to work out a strategy to win this game.