y̚o̵̹͉͖̻̼̓̇̆͒̏ͧu̺͖͊͗̂̾͟n̛̰̻̦̜̔̾̌ͩg̶̝̲̘͂ͪ (youngjug)

We first describe a collection of examples of simple experiments and the associated sample spaces where the assumption of equally likely sample points seems reasonable and then calculate probabilities of some interesting events. These experiments are simple enough that we can just list the sample points after a little thinking.