Failure by Random Numbers
Failure by random numbers can occur whenever the random processes that determine failure aren't significantly influenced by the player's choices, giving players little or no meaningful control over the outcome of their actions. For the most part, games should be designed such that players may improve their chances of success according to the choices they make in the game, giving them meaningful control over their future.
Comments
Why is the random component so important in these games? A high Randomness quotient allows vastly different experience levels (ie. a parent and children) to play on an essentially equal level - at least when it comes to probable success.
Games like Candyland may not hold a hardcore gamer's attention. But they do allow for alomst infinite replayability for a target audience.