A survey of farmers showed that last year 15% bought a new tractor, 21% of them bought a new car, and 8% of them bought both a new tractor and a new car. What is the probability that a farmer bought a new tractor, given that he bought a new car?

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Answer 1 · 2015-11-23T20:26:13

The sample space is the percentage of farmers who bought a new car ...

The denominator is the percentage of farmers who bought a new car #= 21%#

The numerator is the percentage who bought both a new car and a new tractor #=8%#

#P("new tractor" | "new car")=8/21#

hope that helped