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Johnni guessed on all 8 questions of a multiple-choice quiz. each question has 4 answer choices. what is the probability that she got exactly 3 questions correct? round the answer to the nearest thousandth. p (k successes) = subscript n baseline c subscript k baseline p superscript k baseline (1 minus p) superscript n minus k. subscript n baseline c subscript k baseline = startfraction n factorial over (n minus k) factorial times k factorial endfraction 0.004 0.208 0.422 0.792

Respuesta :

The probability that she got exactly 3 questions correct is 0.208 , Option B is the correct answer.

What is Probability ?

Probability can be defined as the likeliness of

If you use the formula P(r)=[tex]^nC_r P^rq^{n-r}[/tex]

P is the probability of success =  3/4 = .25

the total number of questions is n = 8

the total number of questions that Johnni got correct is r  = 3

the probability of getting an answer wrong is q = 1-0.25 = 0.75

Substituting all of these values

[tex]^8C_3 P^3 (0.75)^{8-3}[/tex]

=  .208.

The probability that she got exactly 3 questions correct is 0.208 , Option B is the correct answer.

To know more about Probability

https://brainly.com/question/11234923

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