Blazin Bones
Member
- Oct 6, 2004
- 10,719
- 84
- Thread starter
- #61
cubedbee said:There is only a 50/50 chance that each individual inherits the gene, but given the number of people who could possibly inherit, there is a very good chance that the prevalence of the gene will grow from generation to generation.
The mutated man in the first generation has 2 children. There is a 25% chance that neither inherit the mutation, and that's the end of the story. However, there is a 75% chance that at least 1 did inherit. We're also assuming that each subsequent generation has 3 children each. In this scenario, the 75% of the time that the mutation is passed on to the second generation, we have the following probabilities for the number of mutants in the third generation.
3rd Generation
Code:0 8.9% 1 28.1% 2 32.8% 3 18.8% 4 7.8% 5 3.1% 6 0.5%
63% of the time, the population has at least two mutants in the third generation. Going one further,
4th Generation
Code:0 12.9% 1 14.0% 2 18.6% 3 17.2% 4 13.4% 5 9.5% 6 5.9% 7 3.5% 8 2.0% 9 1.0% 10+ 2.1%
Here, 55% of the time there is 3 or more mutants in the 4th generation. It can clearly be seen that there is a significant probability that the genetic mutation, which is dominant, is not going to be wiped out. For the 5th generation, you need to start taking into account the fact that it is becoming possible for two mutants to mate, especially in a smaller population.
Your numbers still indicate the Genetic decay that will result in the mutation breading out. As well, we only ran the numbers with the limit of three children. Then, the possibility of one child being mutated is not 3/4
but 2/4. Like I said to keebs, when begining with a 1/2 chance, the chance remains 1/2. It's basic genetics.