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Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 14 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 35 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?

Respuesta :

Number of questions Colin thought wrong, N = 14.

So, his score by his prediction will be, S = 50-14 = 36.

Now,

Number of questions which are actually wrong, n = 14 -5 = 9.

His actual score, s = 50 - 9 = 41.

Percentage accuracy is given by :

[tex]\%=\dfrac{Actual-Real}{Real }\times 100\\\\\%=\dfrac{41-36}{41}\times 100\\\\\%=12.195\%[/tex]

Hence, this is the required solution.

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