There are 25 families living in the Willbrook Farms Development. Of these famili
ID: 3219433 • Letter: T
Question
There are 25 families living in the Willbrook Farms Development. Of these families, 13 prepared their own federal income taxes for last year, 7 had their taxes prepared by a local professional, and the remaining 5 by H&R Block.
What is the probability of selecting a family that prepared their own taxes? (Round your answers to 3 decimal places.)
What is the probability of selecting two families, both of which prepared their own taxes? (Round your answers to 3 decimal places.)
What is the probability of selecting three families, all of which prepared their own taxes? (Round your answers to 3 decimal places.)
What is the probability of selecting two families, neither of which had their taxes prepared by H&R Block? (Round your answers to 3 decimal places.)
There are 25 families living in the Willbrook Farms Development. Of these families, 13 prepared their own federal income taxes for last year, 7 had their taxes prepared by a local professional, and the remaining 5 by H&R Block.
Explanation / Answer
a) Probability of selecting a family that prepared their own taxes = 13/25 = 0.52
b) Probability of selecting two families, both of which prepared their own taxes = (13/25)x(12/24) = 0.26
c) Probability of selecting three families, both of which prepared their own taxes = (13/25)x(12/24)x(11/23) = 0.124
d) Probability of selecting two families, neither of which had their taxes prepared by H&R Block
= 1 - Probability of selecting two families, both of which had their taxes prepared by H&R Block
= 1 - (5/25)x(4/24)
= 0.9667
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