A group of 125 truck owners were asked what brand of truck they owned and whether or not the truck has four-wheel drive. The results are summarized in

Dottie Parra 2021-01-10 Answered
A group of 125 truck owners were asked what brand of truck they owned and whether or not the truck has four-wheel drive. The results are summarized in the two-way table below. Suppose we randomly select one of these truck owners.
 Four-wheel drive No four-wheel drive  Ford 2817 Chevy 3218 Dodge 2010
What is the probability that the person owns a Dodge or has four-wheel drive?
(a)2080
(b)20125
(c)80125
(d)90125
(e)110125
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Expert Answer

Nathalie Redfern
Answered 2021-01-11 Author has 99 answers

Given:
 Four-wheel drive No four-wheel drive  Ford 2817 Chevy 3218 Dodge 2010
Let us first determine the row/column totals, which is the sum of all counts in the row/column.
 Four-wheel drive No four-wheel drive Total Ford 281728+17=45 Chevy 321832+18=50 Dodge 201020+10=30Total28+32+20=8017+18+10=4545+50+30=125
The table contains 125 people in total, which is given in the bottom right corner of the table.
The people who own a dodge or have four-wheel drive are given in the row "Dodge” and given in the column ”Four-wheel drive” of the above table, which corresponds with 28+ 32+ 20+ 10= 90 people.
Thus 90 of the 125 people own a dodge or have four-wheel drive.
The probability is the number of favorable outcomes divided by the number of possible outcomes:
P( Dodge or four-wheel drive)=# of favorable outcomes# of possible outcomes=90125
Answer: (d) 90125

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