Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A quiz has 4 multiple-choice questions with 4 possible answer choices each. For each question, there is only 1 correct answer.

A student guesses each answer at random. What is the probability of getting exactly 3 questions correct, to the nearest percent?

(3 correct and 1 incorrect)

Sagot :

reinhard10158

Answer:

5%

Step-by-step explanation:

so, for 3 questions he has a 1 in 4 chances to get it right.

4³ chances, so a 1/4³ probability.

and he has one other question with a 3 in 4 chance to get it wrong.

a 3/4 probability.

that is in total

1/4³ × 3/4 = 3/4⁴

and now we have 4 over 3 combinations as possibilities to get 3 right and 1 wrong.

that is 4! / (3! × (4-3)!) = 4

so our total probability is

4 × 3/4⁴ = 3/4³ = 3/64 ≈ 0.05 = 5%

in other words, the expected quote for him to achieve that result is in 5 out of 100 (or 1 out of 20) attempts.

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.