00:01
For a certain vehicle, in the case of a recall, there's a probability of 0 .25 of a defect in the brake system, a probability of 0 .18 of a defect in the transmission, a probability of 0 .17 of a defect in the fuel system, and a probability of 0 .40 of a defect in some other area.
00:17
Find the probability that the defect is the brakes or the fueling system if the probability that there is a defect in both systems simultaneously is 0 .15.
00:25
So the probability of two events happening, probability of event a or that event b happens, that is equal to the probability of event a plus the probability of event b, minus the probability of event a and b happening simultaneously.
00:44
So in this case we're finding the probability that the defect is in the brakes or the fueling system.
00:53
We say fs for fueling system.
00:55
That would be the probability that there's an effect in the brakes plus the probability of a defect in the fueling system minus the probability of the defect being in the brakes and fueling system simultaneously.
01:11
So the probability that there's an effect in the brakes was given to be 0 .25.
01:15
Plus the probability of it being in the fueling system was 0 .17, minus the probability of the brakes and fueling system simultaneously was 0 .15.
01:25
So if we simplify all that, that would give us 0 .27 for that probability...