Jelly Ksn

2022-07-04

On a quiz with 10 multiple choice questions each with 4 possible answers, find the probability of scoring at least

Vasquez

To calculate the probability of scoring at least 60% on a quiz with 10 multiple-choice questions, each with 4 possible answers, when guessing all the answers, we need to consider the different possible outcomes and determine the favorable outcomes.
For each question, there are 4 possible answers, so the probability of guessing the correct answer by chance is 1/4.
To find the probability of scoring at least 60%, we need to consider the number of correct answers needed. Since 60% of 10 questions is 6 questions, we need to calculate the probability of getting 6, 7, 8, 9, or 10 questions correct.
Let's calculate the probability of getting exactly 6 questions correct:

Similarly, we can calculate the probabilities for 7, 8, 9, and 10 questions correct:

Now, we can calculate the probability of scoring at least 60% by summing up these probabilities:

Rounding the final answer to 4 decimal places will depend on the calculated probabilities.

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