Final answer:
The probability that a randomly chosen student will not buy lunch is 64%, calculated by subtracting the 36% who do buy lunch from 100%.
Step-by-step explanation:
If 36% of students buy lunch at a school, the probability that a randomly chosen student will not buy lunch is the complement of the 36%. Since probabilities always add up to 100%, you simply subtract 36% from 100% to find the probability of the opposite event occurring:
100% - 36% = 64%.
Therefore, the probability that a randomly chosen student will not buy lunch is 64%, which corresponds to option b) 64%.