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There are 20 families living in the Willbrook Farms
Chapter 5, Problem 58E(choose chapter or problem)
Problem 58E
There are 20 families living in the Willbrook Farms Development. Of these families 10 prepared their own federal income taxes for last year, 7 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?
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?
Questions & Answers
QUESTION:
Problem 58E
There are 20 families living in the Willbrook Farms Development. Of these families 10 prepared their own federal income taxes for last year, 7 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?
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?
ANSWER:
Solution
Step 1 of 4
Given that out of 20 families 10 families prepared their own income taxes
Out of 20 families 7 taxes prepared by local professionals
Out of 20 families 3 taxes prepared by H&R block
a) We have to find the probability of selecting a family that prepared their own taxes
Now P( a family prepared their own taxes)=
=10/20
=0.5
Hence the probability of selecting a family that prepared their own taxes is 0.5