Step 1 :The binomial probability formula can be used when the events are independent, which means the outcome of one event does not affect the outcome of another event.
Step 2 :In this case, the subjects are selected without replacement, which means the events are not independent.
Step 3 :The $5 \%$ guideline is a rule of thumb that says if you are sampling without replacement and your sample size is less than $5 \%$ of the population size, you can treat the selections as being independent.
Step 4 :In this case, the sample size (30) is more than $5 \%$ of the population size (1236), so the $5 \%$ guideline is not met.
Step 5 :Therefore, the binomial probability formula cannot be used.
Step 6 :\(\boxed{\text{The correct answer is B. No. The selections are not independent, and the $5 \%$ guideline is not met.}}\)