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There are 30 families living in the Willbrook Farms Development. Of these famili

ID: 3293433 • Letter: T

Question

There are 30 families living in the Willbrook Farms Development. Of these families, 18 prepared their own federal income taxes for last year, 8 had their taxes prepared by a local professional, and the remaining 4 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 30 families living in the Willbrook Farms Development. Of these families, 18 prepared their own federal income taxes for last year, 8 had their taxes prepared by a local professional, and the remaining 4 by H&R Block.

Explanation / Answer

a) the probability of selecting a family that prepared their own taxes = 18/30=0.600

b) the probability of selecting two families, both of which prepared their own taxes = (18/30)* (17/29) = 0.352

c) the probability of selecting three families, all of which prepared their own taxes

= (18/30) *(17/29)*(16/28)

= 0.201

d) the probability of selecting two families, neither of which had their taxes prepared by H&R Block

=(26/30)*(25/29)

=0.747