I love the rock, paper, scissors mini game!
Any time a random roll is done for you, I might as well watch a movie. Imagine if you were playing Dungeons & Dragons and the dungeon master would roll all your dice behind his screen and never tell you anything.
The fact that you roll your own dice, or choose your own rock, paper, scissors "strategy", gives you a feeling or being more a part of the action.
In addition:
The first time I saw that mini game, I was overjoyed because I thought there would be mini games for more things, like lock-picking and crafting, and I'm rather sad that there wasn't.
