Find the probability of correctly answering the first 4 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.
Each test has 3 possible answers, so the probability of getting 1 question right is 1/3.
The probability of getting 4 such questions right in a row can be found by (1/3)^4 because there are 4 questions.
4/3
To find the probability of correctly answering the first 4 questions on a multiple-choice test with 3 possible answers per question, we can use the formula for the probability of independent events.
The probability of correctly guessing one question is 1 out of 3, since there is only one correct answer out of three possible choices.
Since each question is an independent event, the probability of correctly answering all four questions is the product of the individual probabilities:
P(correctly answering all four questions) = P(correctly answering question 1) * P(correctly answering question 2) * P(correctly answering question 3) * P(correctly answering question 4)
= (1/3) * (1/3) * (1/3) * (1/3)
= 1/81
Therefore, the probability of correctly answering the first 4 questions on the multiple-choice test by random guessing is 1/81.
To find the probability of correctly answering the first 4 questions on a multiple-choice test if random guesses are made and each question has 3 possible answers, we can use the concept of independent events.
Since each question has 3 possible answers, the chance of guessing the correct answer for each question is 1 out of 3 or 1/3.
To find the probability of correctly guessing all 4 questions, we need to multiply the individual probabilities of guessing each question correctly, since these events are independent. So, the probability of guessing the first question correctly is 1/3, the probability of guessing the second question correctly is also 1/3, and so on.
Therefore, the probability of correctly answering the first 4 questions is calculated as follows:
Probability = (1/3) * (1/3) * (1/3) * (1/3)
Calculating the above expression, we get:
Probability = 1/81
Hence, the probability of correctly answering the first 4 questions on a multiple-choice test if random guesses are made and each question has 3 possible answers is 1/81.