Question

A multiple choice test has 10 questions with 3 choices each. Only one choice per question is correct. What is the probability to ace the test (answer correctly all 10 questions)

Answer 1

Since each question has 3 choices and only one is correct, the probability of answering a single question correctly is 1/3.

To find the probability of answering all 10 questions correctly, we need to multiply the probabilities of each individual question together, since the events are independent.

Therefore, the probability of acing the test is:

(1/3)^10 = 0.000005904

Or approximately 0.0006%, which is a very small probability.

Explanation: