Ted is taking a true-false test. He has a 90% chance of identifying the correct answer to each question. Unfortunately, there is a 25% chance that he will circle the opposite of his intended answer. What is the probability, expressed as a percent, that Ted circles the correct answer to any particular question on this test?

Question

Mathematics

Puddles

18 May, 11:33

Ted is taking a true-false test. He has a 90% chance of identifying the correct answer to each question. Unfortunately, there is a 25% chance that he will circle the opposite of his intended answer. What is the probability, expressed as a percent, that Ted circles the correct answer to any particular question on this test?

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Answers (1)

Know the Answer?

Serena Whitney · Answer 1

0.675

Step-by-step explanation:

given that Ted is taking a true-false test. He has a 90% chance of identifying the correct answer to each question. Unfortunately, there is a 25% chance that he will circle the opposite of his intended answer.

For Ted circling the correct answer to any particular question on this test,

first he has to identify the correct answer and then round the correct answer.

Probability for Ted circles the correct answer to any particular question on this test

= Prob for idenfitying correct answer and rounding correct answer

= P (identify correct answer) * P (rounds of correct answer)

= 0.90 (1-0.25)

= 0.675