A student 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.)

The sample space is 22 words and out of it, 14 words are known to have meanings for the student. In the problem, we use 10 C8 + 10 C9 + 10 C10 to associate at least 8 words. The complete formula is (10 C8 * (14/22) ^8 * (8/22) ^2 + 10 C9 (14/22) ^9 * (8/22) ^1 + 10 C 10 (14/22) ^10 * (8/22) ^) 0) that is equal to 0.233