anonymous
  • anonymous
2. Solve by simulating the problem. 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.
Pre-Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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.
katieb
  • katieb
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reemii
  • reemii
5 questions, 4 choices for each. The probability of having a good answer at one particular question is 1/4, because the choice is random, and there are 4 choices. The experience "choose an answer" is repeated 5 times. This is a binomial experiment (\(\text{Bin}(n,p)\)). Does this help ?
anonymous
  • anonymous
no
anonymous
  • anonymous
haha sorry im just horrible at probablities

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reemii
  • reemii
what do they mean by "solve by simulating?" Are you allowed to use a formula ? now i think you're not. In that case, we need to do this (C: correct, W: wrong): the possible outcomes with 3 good answers exactly CCCWW CCWCW CCWWC ... .. write them all. Then you compute the probability of having 3 good answers as the sume of hte probabilities of each separate case that you wrote just above. P(3 correct out of 5) = P(CCCWW) + P(CCWWC) + ... = (1/4)(1/4)(1/4)(3/4)(3/4) + (1/4)(1/4)(3/4)(1/4)(3/4) + ... = \(\pi + \pi + ...\) Since all these values are equal, you only need to know how many there are (\(n\)). The answer will be \(n\times \pi\).

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