Question

There are 32 families living in the Willbrook Farms Development. Of these families, 16 prepared their own federal income taxes for last year, 11 had their taxes prepared by a local professional, and the remaining 5 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 of selecting two families, neither of which had their taxes prepared by H&R Block? (Round your answers to 3 decimal places.)

Probability

Answer 1

Solution;-

a) The probability of selecting a family that prepared their own taxes is 0.50 .

Total number of families = 32

Number of families prepared their own federal income taxes = 16

The probability of selecting a family that prepared their own taxes = 16/32 = 0.50

b) The probability of selecting two families, both of which prepared their own taxes is 0.242.

Total number of families = 32

Number of families prepared their own federal income taxes = 16

The probability of selecting two families, both of which prepared their own taxes

The probability of selecting two families, both of which prepared their own taxes is 0.2419

c) The probability of selecting three families, all of which prepared their own taxes is 0.113

Total number of families = 32

Number of families prepared their own federal income taxes = 16

The probability of selecting three families, all of which prepared their own taxes

The probability of selecting three families, all of which prepared their own taxes is 0.1129 .

d) The probability of selecting two families, neither of which had their taxes prepared by H&R Block is 0.844 .

P(Not By HR) = 1 - [P(HR, HR) + P(Not HR, HR)]

P(Not By HR)

P(Not By HR) = 1 - 0.15625

P(Not By HR) = 0.8437