A woman has two kids. One is a boy. What are the odds the other is a boy?

Just because you don't want T/T, that doesn't mean it's eliminated from the list of possible outcomes.

Using a RNG...

0 1
1 0
1 0
1 0
1 1
1 1
0 0
0 1
1 0
0 0
1 1
0 0
1 1
1 1
1 0
0 1
1 0
1 1
1 0
0 1
0 0
0 1
1 1
0 0
0 1
1 0
1 0
0 1
1 1
1 1
1 0
0 1
0 1
0 1
1 0
1 0
0 0
1 0
1 0
1 0
0 0
0 1
0 0
1 0
0 0
0 0
0 0
1 0
0 1
1 0

Number of 01/10: 28, or 56%
Number of 00: 11, or 22%
Number of 11: 11, or 22%

As the number of samples increases, the probabilities would approach 50%, 25%, and 25%.

Khoi: Four coins being all heads is .5^4, not .5^5.

Also, sperm is either X or Y with a 50% chance, while an egg is definitely X.