The chance of 2 boys
At stage 1 is 1/4 BB BG GB GG
At stage 2 the chance is now 1/2 either BG or BB
At stage 3 it gets tricky. The chance of having either child born on a Tuesday is 2/7, of one of those children being a boy is 1/7. The chance of any particular child being a boy born on a Tuesday is 1/14. That being said we still are in the same predicament as stage 2 with one of the children being a boy. So I guess the odds at this stage are still 1/2.
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