Question 1023859
There are now 4 blue and 10 not-blue

The odds of picking another blue is 4/14 or 2/7.

The first pick was already done, had she asked the question before that pick, the answer would be 

There are 5 blue and 10 not-blue.

The odds of picking a blue is 5/15 or 1/3. then multiply by 2/7 for second pick, 2/21 to pick 2 blues at start of experiment.