Multiple-choice questions each have four possible answers (a comma b comma c comma d ), one of which is correct. Assume that y

Question

3 years ago

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Multiple-choice questions each have four possible answers (a comma b comma c comma d ), one of which is correct. Assume that y

ou guess the answers to three such questions. a. Use the multiplication rule to find P(CWW), where C denotes a correct answer and W denotes a wrong answer.

Mathematics

1 answer:

Ray Of Light [21] · Answer 1 · 2021-11-30T17:59:01+03:00

Answer:

0.140625

Step-by-step explanation:

Given that multiple-choice questions each have four possible answers (a comma b comma c comma d ), one of which is correct. Assume that you guess the answers to three such questions.

Each question is independent of the other with constant probability

p = Prob for correct guess = 1/4 = 0.25

q = prob for wrong guess = 1-p = 0.75

Hence

$P(CWW)\\= P(C)*P(W)*P(W)$ , since each question is independent of the other

= $0.25*0.75*0.75\\= 0.140625$

​Multiple-choice questions each have four possible answers (a comma b comma c comma d )​, one of which is correct. Assume that y

Multiple-choice questions each have four possible answers (a comma b comma c comma d ), one of which is correct. Assume that y