Another number problem from N-rich. This activity involves working out the probability of getting two outcomes when tossing a coin to see which event, if any, is more likely. This would make an ideal investigation lesson into probability for KS4. Pupils drawing probability trees would be a good extension. Teacher notes and a full set of solutions are provided to help with planning. 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?