Another excellent week! We never thought when we started this project that we'd be determining the recessiveness of a new fur hehe. This week we did that PLUS got a nice 5-traited Bali Blue and an awesome 8-traited one as well. All in all, a great week!
One thing I would like to comment on is the result of the breeding of Week 2 with Bailey. The main thing with this breeding was that we got the Balinese Blue Lynx fur. Getting an 8-traiter is a very good result, but actually not an overly surprising one.
When you breed a 9-traiter with a 6-traiter hiding the other 3 traits, there's a 1 in 8 chance of getting a 6T, a 3 in 8 chance of getting a 7T, a 3 in 8 chance of getting an 8T, and a 1 in 8 chance of getting a 9T. Since Week 2's fur is Russian Black hiding Balinese Blue Lynx, the odds of getting an 8-traited Bali Blue Lynx is 3 out of 16 (1/2 of 3 out of 8).
Those of you with a certain amount of mathematical knowledge may realize something here. The 1 3 3 1 may look very familiar, because it's the 4th row of that very handy multi-purpose mathematical tool that many of you probably saw in school but forgot about called Pascal's Triangle. In fact, the first 10 rows of Pascal's Triangle give the distribution you get in terms of number of traits when you breed a 9-traiter with a cat showing N traits AND hiding the rest, when you look at row 10-N.
Okay, that may sound a bit scary, but let me explain. If you put 2 9-traiters together, you'll get a 9-traiter back every time. The first row of Pascal's triangle (10-N, where N=9), is 1, which is what we'd expect. If you put an 8T hiding trait 9 with a 9-traiter, there is one way to get an 8-traiter, & one way to get a 9-traiter; row 2 (10-N, where N=8) of Pascal's Triangle is 1 1, as expected. This works all the way down to row 10, which is the case of breeding a cat with 0 traits showing & 9 traits hiding (for example, this could be the case of a starter is hiding Mysterious eye shape, Small pupil, and a shade). In that case, there would be only one way to get a 0T or 9T, but 126 ways to get a 4T or 5T.
I'll paste in the first 10 rows of Pascal's Triangle below for those of you who are interested:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
For the record, IF YOU HAVE A STARTER HIDING ALL 9 TRAITS (no guarantee of this), and put them with a 9-traiter, the odds are 1 in 512 of getting a 9-traiter back.
