4 multiple choice questions with 3 possible answers. What is the probability of answering the first, third, and fourth question correctly?
1/3 x 1/3 x 1/3 1/3 = 1/81
why the fourth factor?
I'd say 1/27
What happens on the 2nd question does not matter.
To find the probability of answering each question correctly, we need to consider that each question has three possible answers and we want to choose the correct answer each time.
The probability of answering the first question correctly is 1/3 since there is only one correct answer out of three options.
The probability of answering the third question correctly is also 1/3 since again, there is only one correct answer out of three options.
Similarly, the probability of answering the fourth question correctly is 1/3.
To find the overall probability of answering all three questions correctly, we need to multiply the probabilities of each individual question together.
So, the probability of answering the first, third, and fourth question correctly is (1/3) x (1/3) x (1/3) = 1/27.
Therefore, the probability of answering the first, third, and fourth question correctly is 1/27.