I am tutoring a student. His teacher provided a sample TAKS test with this question.

A census shows that on Tim’s block the families contain 3, 4, 4, 0, 1, 2, 0, 2, 2 children respectively.

If a family on this block is randomly chosen, what is the probability it is Tim’s family?

The correct answer is given as 7/9. 7 - the number of families with children in them; 9 - the total number of families on the block.

But that is the probability of selecting a family with a child. 7 - number of families with children. 9 - total number of families.

The probability of selecting Tim's family from a random selection of families on the block is 1 - number of Tim's families / 9 total number of families (1/9).

I'm double checking. Is 7/9 correct?