There are 27 families living in the Willbrook. Farms Development Of these famili
ID: 3219208 • 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.) Probability b. What is the probability of selecting two families, both of which prepared their own taxes? (Round your answers to 3 decimal places.) Probability c. What is the probability of selecting three families, all of which prepared their own taxes? (Round your answers to 3 decimal places.) Probability d. What is the probability selecting two families, neither of which had their taxes prepared by H&R; Block? (Round your answers to 3 decimal places.) ProbabilityExplanation / Answer
Solution:-
a) The probability of selecting a family that prepared their own taxes is 0.667.
Number of families who prepared their own taxes = 18
Total number of families = 27
The probability of selecting a family that prepared their own taxes = 18/27 = 0.667
b) The probability of selecting two families, both of which prepared their own taxes is 0.444
Number of families who prepared their own taxes = 18
Total number of families = 27
The probability of selecting a family that prepared their own taxes = 18/27 = 0.667
The probability of selecting two families, both of which prepared their own taxes = 0.667 × 0.667 = 0.444
c) The probability of selecting three families, all of which prepared their own taxes is 0.2963
Number of families who prepared their own taxes = 18
Total number of families = 27
The probability of selecting a family that prepared their own taxes = 18/27 = 0.667
The probability of selecting three families, all of which prepared their own taxes = (0.667)3 = 0.2963
d) The probability of selecting two families, neither of which had thier taxes prepared by H&R Block is 0.79.
Number of families who had not prepared taxes from H & R Block = 24
Total number of families = 27
The probability that selected family had not prepared taxes from H & R Block = 24/27 = 0.889
The probability of selecting two families, neither of which had thier taxes prepared by H&R Block = (0.889)2
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