A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.

To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?
a. 9%
b.15%
c.21%
d.57%

Question

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.

To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?
a. 9%
b.15%
c.21%
d.57%

anonymous · Answer

@marihelenh

marihelenh · Answer

Alright, ignore the 13 percent, it doesn't have to do with SUVs.

anonymous · Answer

ok

marihelenh · Answer

Only 2 percent of the SUVs were white, and 23 percent of cars were SUVs. To solve this, all you need to do is divide 2/23

anonymous · Answer

ok so i got .086 so i rounded and got a.9%

marihelenh · Answer

Wait a sec

marihelenh · Answer

I did this backwards.

marihelenh · Answer

We know that the car is white. That is the given, so it will be the denom.

marihelenh · Answer

And only 2 percent of white cars are SUVs, so it would be 2/13.

marihelenh · Answer

Have @mathstudent55 check that to make sure.

anonymous · Answer

so its 15%

marihelenh · Answer

I believe so

anonymous · Answer

@mathstudent55 does it look right

anonymous · Answer

@mathstudent55

marihelenh · Answer

Wow. I am pretty sure that is right though

anonymous · Answer

ok thank you @marihelenh