Final answer:
There are 64 sample points in the experiment of checking the gender of six applicants for admission to a local university.
Step-by-step explanation:
The experiment involves checking the gender of six applicants for admission to a local university. Each applicant can be either male or female. So, for each applicant, there are two possible outcomes: male or female. Since there are six applicants, the total number of sample points in the experiment is 2 x 2 x 2 x 2 x 2 x 2 = 64.