You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences.

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You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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HI!!
binomial should work for this one
what is the probability you get any one question right?

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if you do not know, say so and i can tell you hint, there are 4 possible answers, only one is right
I really don't know..
one is right, out of four ratio is \(\frac{1}{4}\) i.e. the probability you get any one answer correct is \(\frac{1}{4}\)
you also need the probability you get any one answer incorrect you know that?
3/4?
|dw:1438222812257:dw|
yes it is \(\frac{3}{4}\) for wrong answers
now you want 3 out of 5, so 3 right, 2 wrong
probabiliy of getting any one answer right is \(\frac{1}{4}\) and you want 3 right so \((\frac{1}{4})^3\) also 2 wrong, so \((\frac{3}{4})^2\)
then then multiply by the number of ways to choose 3 out of 5 that is called "five choose three" sometimes written as \[\_5C_3\] or more commonly \[\binom{5}{3}\] and computed via \[\binom{5}{3}=\frac{5\times 4}{2}\]
final answer is \[10\times \left(\frac{1}{4}\right)^3\times \left(\frac{3}{4}\right)^2\] use a calculator
.009765625?
hello????/
i don''t know i didn't do it hold on
http://www.wolframalpha.com/input/?i=10*.25^3*.75^2

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