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There are 27 families living in the Willbrook Farms Development. Of these famili

ID: 3219453 • Letter: T

Question

There are 27 families living in the Willbrook Farms Development. Of these families, 18 prepared their own federal income taxes for last year, 6 had their taxes prepared by a local professional, and the remaining 3 by H&R; Block. a. What is the probability of selecting a family that prepared their own taxes? (Round your answers to 3 decimal places.) b. What is the probability of selecting two families, both of which prepared their own taxes? (Round your answers to 3 decimal places.) c. What is the probability of selecting three families, all of which prepared their own taxes? (Round your answers to 3 decimal places.) d. What is the probability of selecting two families, neither of which had their taxes prepared by H&R; Block? (Round your answers 3 decimal places.)

Explanation / Answer

(d) 2 families can be selected from 27 families in C(27, 2) ways = 351 ways

2 families out of 24 who did not have their taxes prepared by H&R block can be selected in C(24, 2) ways = 276 ways

Probability = 276/351 = 0.786