Find the probability of correctly answering the first 4 questions on a multiple choice test if random guesses are made and each question has 5 possible answers.
Explain to me the answer?
The prob of answering a question right (R) is 1/5, and the prob of answering it wrong (W) is 4/5
So you want the specific order of
RRRRW which would be (1/5)^4 (4/5) = 4/3125
I don't think it requires for it to be times by (4/5)
it is just asking for possibility of it being correct 4 times the first times..
so the answer is 1/625
:)
thank you reiny
A researcher whishes to estimate the proportion of college students who cheat on exams.
To find the probability of correctly answering the first 4 questions on a multiple-choice test where random guesses are made and each question has 5 possible answers, we can use the concept of independent events.
In this scenario, since we are making random guesses, each question has a 1/5 chance of being answered correctly. Since each question is independent of the others (one question's outcome does not affect the others), we can multiply the individual probabilities together to find the probability of answering all 4 questions correctly.
The probability of answering the first question correctly is 1/5, and the probability of answering the second question correctly is also 1/5. Using multiplication, we can calculate the probability of answering the first two questions correctly as (1/5) * (1/5) = 1/25.
To find the probability of answering the first three questions correctly, we multiply the probability of answering the first two questions correctly (1/25) by the probability of answering the third question correctly (1/5), which gives us (1/25) * (1/5) = 1/125.
Finally, to find the probability of answering the first four questions correctly, we multiply the probability of answering the first three questions correctly (1/125) by the probability of answering the fourth question correctly (1/5), resulting in (1/125) * (1/5) = 1/625.
Therefore, the probability of correctly answering the first 4 questions on a multiple-choice test with random guesses and 5 possible answers for each question is 1/625.