Final answer:
The student's question deals with finding the probability of achieving a certain percentage of correct answers when guessing on a quiz or exam, which is calculated using binomial probability formulas.
Step-by-step explanation:
The question seems to involve calculating probabilities in different contexts, which is a common topic in Mathematics, particularly in high school level probability and statistics. When a student guesses on a true or false quiz, or a multiple choice exam with three possible answers, there are mathematical ways to calculate the probability of achieving a certain percentage of correct answers. It's important to comprehend how to set up these probabilistic models for random guessing.
For a 10-question true-false quiz where the student guesses randomly, each question has a 50% chance of being correct. When aiming for at least a 70% success rate, the student must answer correctly on at least 7 out of 10 questions. To calculate the probability of this scenario, one can use the binomial probability formula considering the number of trials (10 questions), number of successes (at least 7 correct answers), and the probability of success on a single trial (0.5 for true or false).
In the case of a 32-question multiple choice exam, if each question has three possible choices and we want to find the probability of the student guessing more than 75% correctly, the complexities increase. This is due to the lower probability of guessing correctly (1 out of 3) and the higher percentage of correct answers required. Advanced probability techniques such as binomial distribution would again be employed here.