Vampire Fangs
In the module on Laws of Probability, we figured out the probability of flipping 2 coins and getting 2 tails:
P(coin1=tails AND coin2=tails) =
P(coin1=tails) * P(coin2=tails) = 0.5 * 0.5 = 0.25
Or, you could do this as a Punnett Square. This time the mother's possible
egg types go on the top, and the father's possible sperm types on the side.
The kid gets one egg from Mom and one sperm from Dad.
Here is a Punnett Square. See if you can fill it in -- remember, both Mom's and Dad's genotypes are Tt. Click the "check" buttons at the bottom will tell you if you've filled it in correctly. (Also, notice that the top and left cells are color-coded: pink for Mom and baby-blue for Dad!)
If you count, you will find 3 normal mice and 1 with fangs. This leads to a classic ratio, namely 3:1, or three to one. Applied to our mice, that means, if Mr. and Mrs. Mouse have a copy of each allele, they will produce (approximately) 3 normal looking mice for every 1 vampiric baby. And, looking at the Punnett Square , you can also deduce that, on average, 2 of the normal-looking offspring will have the vampire allele but not show it, while one will have no vampire allele at all.
It's very important to realize that these numbers are approximate. The actual production of eggs and sperm and their union are random processes, so the exact number of each phenotype is only approximate.
photo credits: mouse
Copyright University of Maryland, 2007
You may link to this site for educational purposes.
Please do not copy without permission
requests/questions/feedback email: mathbench@umd.edu