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

ID: 3219294 • Letter: T

Question

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

Explanation / Answer

A) P(a family prepared their own taxes) = 18/27 = 2/3

B) P(2 families selected prepared their own taxes)

= (18/27)x(17/26) = 0.436

C) P(3 families selected prepared their own taxes)

= (18/27)x(17/26)x(16/25) = 0.279

D) P(2 families selected did not prepare tax by H&R block)

= 1-P(2 families prepared tax by H&R block)

= 1 - (3/27)x(2/26)

= 0.9915