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 answer
Since each question has 3 possible answers, the probability of correctly answering each question by guessing is 1/3. Therefore, the probability of correctly answering the first 4 questions by guessing is:
1/3 * 1/3 * 1/3 * 1/3 = (1/3)^4 = 0.0123 or approximately 1.23%.
Fill in the blank. Choose the best answer that fits the sentence.
I am planning to ____ my dog all the way to the park this afternoon.
A. walked
B. walks
C. walk
D. walking
I am planning to walk my dog all the way to the park this afternoon.
Yes, correct! This was a question for you!
To find the probability of correctly answering the first 4 questions on a multiple choice test with 3 possible answers each, if random guesses are made, we can use the concept of independent events.
Since there are 3 possible answers for each question, the probability of correctly guessing one question is 1/3. Since the guesses are random, the probability of correctly guessing each question is independent of the others.
To find the probability of correctly guessing all 4 questions, we multiply the individual probabilities together:
P(correctly guessing 4 questions) = (1/3) * (1/3) * (1/3) * (1/3)
Simplifying this equation gives us:
P(correctly guessing 4 questions) = 1/81
Therefore, the probability of correctly answering the first 4 questions on a multiple-choice test if random guesses are made is 1/81.
To find the probability of correctly answering the first 4 questions on a multiple-choice test when 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 and you are making a random guess, the probability of guessing the correct answer for each question is 1 out of 3, or 1/3.
Now, since the questions are independent of each other (the outcome of one question does not affect the outcome of another question), we can multiply the probabilities together to get the overall probability.
So, for 4 questions, the probability of correctly guessing the answer for all 4 questions is:
(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 making random guesses is 1/81.