Final answer:
The probability that the fourth student is a female given that the first three selected students are males is 36/49 or approximately 0.7347.
Step-by-step explanation:
The question asks about calculating the probability that the fourth student is a female given that the first three students are males. This is a probability question that can be solved using the principles of conditional probability and hypergeometric distribution.
Initially, the preschool consists of 36 females and 16 males. After selecting three males, there are 13 males and 36 females left. The total number of students is now 49. The probability of selecting a female as the fourth student is the number of females left over the total number of remaining students.
Therefore, the probability of selecting a female fourth, given that the first three students are males, is 36/49 or approximately 0.7347.