# A student is certain of the answers to 4 questions but is totally baffled by 6 questions. If the student randomly guesses the answers to those 6 questions, what is the probability that the student will get a score of 5 or more on the test? E

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The multiple choice test has 10 questions and each question has 5 possible answers.

The multiple choice test has 10 questions and each question has 5 possible answers.

##### 1 Answer

#### Explanation:

Let us assume that the student gets the

Now, he randomly guesses the remaining

In order to score a

But there is an easier way. We can calculate the probability that he will not get a score of

Assuming that answering the remaining six questions are independent events, we can just multiply the probabilities of getting one question wrong: