A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)

Question

Mathematics

Marin Sawyer

11 October, 18:16

A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)

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Answers (1)

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Gretchen Munoz · Answer 1

To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.

=[C (16,8) * C (10,2) + C (16,9) * C (10,1) + C (16,10) * C (10,0) ] / C (26,10)

=0.132