You randomly guess the answers to two questions on a multiple-choice test. Each question has three choices: A, B, and C.

a. What is the probability that you guess the correct answers to both questions?

b. Suppose you can eliminate one of the choices for each question. How does this change the probability that your guesses are correct? (increase or decrease)

1 answer

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

a. 1/3 * 1/3 = ?

b. increase, 1/2 * 1/2 = ?