math
A factory needs two raw materials, say, A and B. The probability of having an adequate supply of material A is 0.94, whereas the probability of having an adequate supply of material B is 0.96. A study shows that the probability of a shortage of both A and B is 0.02. What is the probability that the factory has a shortage of either material A or B?
(Show full working)
Reply
Answers
The probability of having a shortage of either material A or B is 1 - P(Having an adequate supply of both A and B). P(Having an adequate supply of both A and B) = P(having an adequate supply of A) × P(having an adequate supply of B) = 0.94 × 0.96 = 0.9024 Therefore, the probability of a shortage of either material A or B is 1 - 0.9024 = 0.0976. This answer is the probability of a shortage of either material A or material B. It combines the probability of having a shortage of either material A or material B, but not both.
