Daughter's school and career prospects

My daughter is also a sheep born December 19, 2003 in Virginia USA. She applied to specialty high schools and was selected in one of the 3 top choices that is a Math and Science center high school. she did not get accepted in the other 2 choices for schools.
Question is whether she has chance of being successful in the high school for admission to good college?
what are her career prospects; which field? and if she will be successful?
Thanks