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

a. Use the multiplication rule to find ​P(CWC​), where C denotes a correct answer and W denotes a wrong answer.

Respuesta :

amna04352

Answer:

3/64

Step-by-step explanation:

P(C) = ¼

P(W) = ¾

P(CWC) = ¼ × ¾ × ¼ = 3/64

The probability P(CWC), where C denotes a correct answer and W denotes a wrong answer for multiple choice questions each have four possible answers (a, b, c, d)​, one of which is correct is 3/64. This can be obtained by using multiplication rule of probability and the events are independent.

What is the multiplication rule of probability:

  • Multiplication rule of 3 independent events A,B and C is,

P(A and B and C) = P(A)P(B)P(C)

  • Multiplication rule of 3 dependent events A,B and C is,

P(A and B and C) = P(A)P(B|A)P(C|A and B)

What is the required probability?

In a multiple choice question, out of 4 option,

  • Probability of a correct answer, P(C) = 1/4
  • Probability of a wrong answer, P(W) = 3/4

The required probability P(CWC) = P(C).P(W).P(C) = (1/4)(3/4)(1/4) = 3/64

Hence the probability P(CWC), where C denotes a correct answer and W denotes a wrong answer for multiple choice questions each have four possible answers (a, b, c, d)​, one of which is correct is 3/64.

Learn more about multiplication rule here:

brainly.com/question/17272828

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