Ana is a teacher who plays a review game with her class. The game involves writing each student's name on an identical slip of paper and selecting students at random. Here's the makeup of her class: grade 9^\text{th}9 th 9, start superscript, start text, t, h, end text, end superscript 10^\text{th}10 th 10, start superscript, start text, t, h, end text, end superscript 11^\text{th}11 th 11, start superscript, start text, t, h, end text, end superscript number of students 121212 999 777 suppose that ana picks a name, replaces it, and picks a name again. What is the probability that neither of the students selected are 9^\text{th}9 th 9, start superscript, start text, t, h, end text, end superscript graders? round your answer to two decimal places.
