A car producer stocks three types of tires: A, B, and C. Let P(A) = 0.40, P(B) = 0.15 and P(C) = 0.45. The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire off the shelf at random and it is Brand A.
If you want to know the probability that it is a defective tire (event D), which formula would you use? If you want to know the probability that it is a defective tire (event D), which formula would you use?
a) P(AD)= PD AP(A) PD)
b) P(D|A) = P(A|DP(D) P(A)
c) P(AD)= PD APD) P(A)
d) P(DA)= P(ADP(A) PD)