Astudent studying for a vocabulary test knows the meanings of 14 words from a list of 22 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.)

At least 8 of the words on the test are words that the student knows means that student knows 8 or 9 or 10 words.

1. Student knows 8 words (2 words are unknown): he knows the meanings of 14 words from a list of 22 words (8 words are unknown), then the number of ways to select 8 known words from 14 and 2 unknown words from 8 is

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2. Student knows 9 words (1 unknown): he knows the meanings of 14 words from a list of 22 words, then the number of ways to select 9 known words from 14 and 1 from 8 is

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3. Student knows 10 words: he knows the meanings of 14 words from a list of 22 words, then the number of ways to select 10 known words from 14 is

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4. He has ways to select arbitrary 10 words from 22.

5.. The probability that at least 8 of the words on the test are words that the student knows is