Question

You randomly guess the answers to two questions on a multiple-choice test. Each question has three choices (A, B, and C). What is the probability that you guess the correct answer to both questions?

a. 1/3
b. 1/6
c. 1/9
d. 1/4

Answer 1

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:

1. Determine the probability of guessing one question correctly, which is 1 out of 3 choices, or 1/3.
2. 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.

Answer 2

A. 1/3 since you have a one in three chance to get each right (I think)