Probability of an event is the ratio of favorable outcome to the total outcomes of the event. The probability that a car is and SUV given that it is white is 15 percent.
To find out the probability that a car is and SUV given that it is white, we should know about the probability.
Probability of an event is the ratio of favorable outcome to the total outcomes of the event.
Given information-
Total percentage of SUV car manufactured last year is 23%.
Total percentage of white cars manufactured last year is 13%.
Total percentage of white SUV manufactured last year is 2%.
Let total 100 car were manufactured last year. Thus he probability of the SUV car manufactured last year is,
[tex]=\dfrac{23}{100}[/tex]
The probability of white cars manufactured last year is,
[tex]=\dfrac{13}{100}[/tex]
The probability of white SUV cars manufactured last year is,
[tex]=\dfrac{2}{100}[/tex]
As two 13 cars manufactured last year is 13 in which 2 white cars are SUV. thus the probability that a car is and SUV given that it is white,
[tex]=\dfrac{13}{100} +\dfrac{2}{100}\\ =\dfrac{15}{100}[/tex]
Hence, the probability that a car is and SUV given that it is white is 15 percent.
Learn more about the probability here;
https://brainly.com/question/743546
