Question

The probability that a randomly chosen car is not automatic, given that it is white, is _____.

Answer 1

proablity=desired outcomes/total possible outcomes

desired outcomes=not automatic=manualgiven that it is white, there are 16 manual cars

total possible outcomes=total number of carsgiven that it is white, there are 82 total cars


so probability of a white car not being automatic is 16/82 or 8/41 or about 19.5%

Answer 2

`P(\text{not automatic}\mid\text{white})=P(\text{manual}\mid\text{white})=(16)/(82)=\frac8{41}`