Your observation about the odds is of having a major should be noted by everyone. I know a man whose first 4 kids fit the odds perfectly. One major, two minors and one non-carrier. Yet, with the huge amount of thals I have known, this is the only time I have seen the odds break down to fit the theory. I know of at least 3 families with 3 thal majors. Odds need to be ignored in this.
I agree with your observation, Andy - I have also seen families at my centre with multiple Thal Major kids. It seems like the probability chart is mathematically correct, but there is a biological/genetic factor not being considered.
My own (half-baked) thesis is that sperm cells carrying the thal gene may be more mobile and stronger (ironic, eh?) than the ones not carrying the thal gene - after all, the thal gene came about due to a positive evolutionary response to Malaria.
That would imply that whether a baby is thal major or not would depend, probability wise, more on the mother - ie, a 50-50 chance. Let us assume, for sake of convenience, that thal gene carrying sperms are twice as fast as non thal gene carrying sperms. Then the probability on the father side is 66.7% (2/3) that a thal gene would fertilise the egg, instead of the 50% we have been assuming.
Then, thal major probability becomes 0.335 ie 33.5% and not 25%
What if the thal gene carrying sperms are thrice as fast? The probability goes up to 37.5%
It would be good to see some research work in this space. After all, we do know that all sperm cells are not created equal.
Cheers