Final answer:
The probability of correctly answering all four questions after getting the first two right depends on the independence of each question and the number of answer choices available. Assuming each question has an equal likelihood of being guessed correctly, we multiply the individual probabilities together.
Step-by-step explanation:
The subject of this question revolves around probability, more specifically, the probability of a student guessing answers correctly on a test. To determine the probability of getting all four questions correct after the first two are known to be correct, we can consider the independence of each question since past outcomes do not affect future ones.
With the assumption that each question has the same probability of being answered correctly, the probability of getting the third question right is the same as the first and second, and the same logic applies to the fourth question. Therefore, if the student is guessing each answer, the probability of answering a question correctly is based on the number of possible answers.
For example, if a question is true or false, there is a 1/2 or 50% chance of guessing correctly. If there are four multiple-choice answers, the chance would be 1/4 or 25%.