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? 9% 15% 21% 57%

Answer 1

I got 15% as my answer (:

Answer 2

Answer: 15 % ( approx)

Step-by-step explanation:

Let S represents the event that the car is SUV.

And W is the event that the car is white.

Then According to the question,

23% of the cars manufactured last year were SUVs,

Thus, the probability of SUV Car,

$P(S)= \frac{23}{100} =0.23$

Similarly Probability that the car is white,

$P(W)= \frac{13}{100} =0.13$

And, the probability that cars manufactured were white SUVs,

$P(S\cap W)= \frac{2}{100} =0.02$

Thus, the probability that a car is an SUV, given that it is white,

$P(\frac{S}{W} )= \frac{P(S\cap W)}{P(W)} = \frac{0.02}{0.13}$ = 0.15384615384= 15.384615384 % ≈ 15 %

Therefore, Option B is correct.