asked 42.3k views
5 votes
Colin predicted whether he got answers right or wrong in his 50 question exam.

He identified the 12 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 42 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?

1 Answer

3 votes
Colin thought that he got 12 questions wrong, but he actually got 5 of those questions right. This means that he actually got 7 questions wrong that he thought he got wrong.

Since he got a total score of 42 out of 50, this means that he got 8 questions wrong that he thought he got right.

Therefore, Colin predicted that he got (50 - 12) = 38 questions right, but he actually got (50 - 8 - 7) = 35 questions right.

To find the percentage accuracy of Colin's predictions, we can use the formula:

percentage accuracy = (number of correct predictions / total number of predictions) x 100%

In this case, the number of correct predictions is 35 out of 50, since Colin got 35 questions right out of the 50 total questions. The total number of predictions is 38, since Colin predicted that he got 38 questions right.

Using the formula, we get:

percentage accuracy = (35 / 38) x 100% = 92.11%

Therefore, Colin had a prediction accuracy of 92.11%.
answered
User Novak
by
8.5k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.