A used car dealer sells SUVs and cars. Of all the vehicles, 90% are cars. Of all the vehicles 40% are red cars. What is the probability that a car chosen at random is red? Round your answer to the nearest tenth of a percent.

Question

Mathematics

Francis Richardson

7 August, 03:50

A used car dealer sells SUVs and cars. Of all the vehicles, 90% are cars. Of all the vehicles 40% are red cars. What is the probability that a car chosen at random is red? Round your answer to the nearest tenth of a percent.

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Answers (1)

Know the Answer?

Derick Gamble · Answer 1

44.4%

Step-by-step explanation:

To calculate this, we proceed as follows.

we use the probability equation below;

P (A|B) = P (A and B) / P (B)

Applying the above to the scenario at hand;

P (red | car) = P (red and car) / P (car)

P (red and car) = 40% or simply 40/100 = 0.4

P (car) = 90% = 90/100 = 0.9

P (red | car) = 0.4/0.9

P (red | car) = 0.4444 which is = 44.44%; to the nearest tenth of a percent = 44.4%