For each birth, you have two choices - either a boy or a girl. Then, the probability for a certain birth to obtain a choice is ½.
Using Binomial Theorem, we have (10 choose 8)(½)8(½)² = 45/1024.
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0.48
This is a Binomial Probability; p=0.5, n=10 & x=7. Since you want the probability of exactly 7, in the related link calculator, after placing in the above values, P(x=7) = 0.1172 or 11.72%.
6 out of 9.
50/50
3/8