The movie 21 Please explain the math.

[citydweller]

Here’s an easy way to prove that that the odds of winning the car are higher if you switch doors after the reveal.

Assuming that you will always switch doors after the reveal, then the ultimate outcome is determined as soon as you make your first choice.

In other words, if your first choice was a goat, then you are going to end up with the car. The chance of picking a goat on your first choice is 66%.

[sdduuuude]

Nicely put, citydweller.

[sdduuuude]

Nicely put, citydweller.

[sdduuuude]

Nicely put, citydweller.

[sdduuuude]

Nicely put, citydweller.

[sdduuuude]

Nicely put, citydweller.

[ucodegen]

Just a final note:

The random number generator used on the ucsd example is not random. I was able to game it to increase the rate of wins on staying on the original picked door from 29% to 43.5% with only 100 plays..

[img_assist|nid=8457|title=Gaming the random number generator|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=533]

[ucodegen]

Just a final note:

The random number generator used on the ucsd example is not random. I was able to game it to increase the rate of wins on staying on the original picked door from 29% to 43.5% with only 100 plays..

[img_assist|nid=8457|title=Gaming the random number generator|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=533]

[ucodegen]

Just a final note:

The random number generator used on the ucsd example is not random. I was able to game it to increase the rate of wins on staying on the original picked door from 29% to 43.5% with only 100 plays..

[img_assist|nid=8457|title=Gaming the random number generator|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=533]

[ucodegen]

Just a final note:

The random number generator used on the ucsd example is not random. I was able to game it to increase the rate of wins on staying on the original picked door from 29% to 43.5% with only 100 plays..

[img_assist|nid=8457|title=Gaming the random number generator|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=533]

[ucodegen]

Just a final note:

The random number generator used on the ucsd example is not random. I was able to game it to increase the rate of wins on staying on the original picked door from 29% to 43.5% with only 100 plays..

[img_assist|nid=8457|title=Gaming the random number generator|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=533]

[ucodegen]

I just couldn’t leave well enough alone… this was as far as I could get it until someone else started playing the game at the same time and started screwing with my results (they didn’t know how to game the random number gen) — and no, I didn’t do the addition 200 runs. It took me about an addition 60 to push it this high

[img_assist|nid=8458|title=Gaming the random number generator – success|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=559]

[ucodegen]

I just couldn’t leave well enough alone… this was as far as I could get it until someone else started playing the game at the same time and started screwing with my results (they didn’t know how to game the random number gen) — and no, I didn’t do the addition 200 runs. It took me about an addition 60 to push it this high

[img_assist|nid=8458|title=Gaming the random number generator – success|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=559]

[ucodegen]

I just couldn’t leave well enough alone… this was as far as I could get it until someone else started playing the game at the same time and started screwing with my results (they didn’t know how to game the random number gen) — and no, I didn’t do the addition 200 runs. It took me about an addition 60 to push it this high

[img_assist|nid=8458|title=Gaming the random number generator – success|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=559]

[ucodegen]

I just couldn’t leave well enough alone… this was as far as I could get it until someone else started playing the game at the same time and started screwing with my results (they didn’t know how to game the random number gen) — and no, I didn’t do the addition 200 runs. It took me about an addition 60 to push it this high

[img_assist|nid=8458|title=Gaming the random number generator – success|desc=Gaming the random number generator used on: http://math.ucsd.edu/~crypto/cgi-bin/monty2?2+11807|link=node|align=left|width=466|height=559]

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