Three Companies Produce All the Potato Chips Used by Vending

Short Answer

Three companies produce all the potato chips used by vending machines in public areas in a midwestern state. Company A accounts for 70 percent of the chips, Company B 19 percent, and Company C 11 percent. The probability of the vending company getting an unfilled bag is 2 percent for Company A, 2 percent for Company B, and 4 percent for Company C. Suppose an unfilled bag is found. What is the probability that it came from Company A?