Odds over your lifetime..

[kmb13592]

Agreed. What you are talking about is the same as flipping a coin. The situation you brought up and flipping a coin are both random, and we know the probability of each situation. If you have only been in the situation like 10 times, or if you only flip a coin 10 times the results may not be near the actual probability, but as you play more hands (or flip the coin more times), then you will eventually get closer to the expected value and things will even out.