Monty Hall answer and final clarification

And the answer is..... switch doors. When you chose your door you had a 30 percent probability of choosing the car. After the other door is open and reveals a goat in essence your chosen door has stayed at 30 percent however the other door has picked up the probability from the opened door. As for the random vs. Monty Hall playing the game and knowing what was behind the door, for a single trial it doesn't matter so long as the door that is opened reveals a goat. On multiple trials it is a little different, since you would expect that the door with the car would be revealed a third of the time if it was truly random. The following link explains the problem a little better and also has an applet that will let you run the problem on a single trial, 10 trials, 100 trials and 1000 trials.
www.statisticalmisconceptions.com/MiscAndInvite05c.html
I was playing with it the other day and ran a dozen single trials and got a fifty fifty turn out. The problem really reveals itself over multiple trials (like 50 or more). It also runs on the assumption that the door opened never reveals the true prize. Which brings up another dilemma. Humans are horrible at creating randomness. We just can't do it. So in research, we use computers to generate random numbers. The problem is how can you program a computer to create random numbers, when the computer runs off of a mathematical algorithm that given enough data you could solve for, so is it truly random?