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"No homology for other genes exist" IE it's not similar to any other gene?
defined as "20% protein identity over more than 100 amino acids"
then it says, .05 "raised to at least the power of 20".... the .05 is from 1/20, representing the 20 different amino acids. Now, assuming all amino acids are equally likely (bad assumption...), .05 "raised to at least the power of 20" that would be the odds of finding 20 of the correct amino acid in the row, not "20% protein identity over more than 100 amino acids".
.05^20 is wrong... that would be the odds of having 20 strait amino acids that were the same, not any 20 out of 100.
it should be, (.05^20)*(.95^80)*(100! / 80!) / 20!
edit: accidentally wrote - when i meant / .
which comes out to roughly 8 * 10^-8 if my math is right (edit: or 1 in 12,500,000)... considering how many genes there are, it wouldn't be surprising if they could find a homology just by pure luck, and that's just one of the filter criteria they're using. i don't think this is a very good challenge.
edit: my math isn't right, i just realized. it's actually more likely than i thought... see below post.
Last edited by Nathan45; 16th May 2009 at 12:02 AM.
Ok i need to go back to school. the math i did above calculates the odds of exactly 20 out of 100 amino acids being the same. I don't remember the formula for calculating the odds of 20 or more amino acids out of 100 are the same
( well, besides
(.05^20)*(.95^80)*(100! / 80! / 20!) +
(.05^21)*(.95^79)*(100! / 79! / 21!) +
(.05^22)*(.95^78)*(100! / 78! / 22!) +
etc etc
but i don't feel like doing that)
In any case .05 ^ 20 used in the video is not accurate and this challenge should be regarded as very difficult whether ID is true or not.
Last edited by Nathan45; 15th May 2009 at 11:51 PM.