Final answer:
The probability of guessing the correct answers to both multiple-choice questions, each with three choices, is 1/9 when guessed randomly. This is calculated by multiplying the probability of correctly guessing each question (1/3) by itself.
Step-by-step explanation:
The probability that you guess the correct answer to both questions on a multiple-choice test, when each question has three choices (A, B, and C), can be calculated as follows:
- Determine the probability of guessing one question correctly, which is 1 out of 3 choices, or 1/3.
- Since the questions are independent, multiply the probability of guessing one question correctly by itself to find the probability of guessing both questions correctly. This is (1/3) × (1/3) = 1/9.
Therefore, the correct answer is 1/9, which corresponds to option c. 1/9.