A multiple choice test has 5 questions each with 5 possible answers. Find the probability of answering all the questions correctly.
I think it is 1/25. Am I correct?
So... 1/3125?
prob(first question is correct) = 1/5
prob(first two questions are correct) = (1/5)(1/5) = 1/25
prob(first three questions are correct = (1/5)^3 = 1/125
...
prob(first 5 questions re correct) = ....
To find the probability of answering all the questions correctly, we need to determine the probability of answering each question correctly and then multiply those probabilities together.
In this case, each question has 5 possible answers, and only one of them is correct. Therefore, the probability of answering one question correctly is 1/5.
Since there are 5 questions in total, we need to multiply the probabilities together:
(1/5) * (1/5) * (1/5) * (1/5) * (1/5) = 1/3125.
Therefore, the probability of answering all the questions correctly is 1/3125, not 1/25.