Because the Core Test Can Only Sample a Small Part

Essay

Because the core test can only sample a small part of the mine,Southport's geologists believe it is somewhat unrealistic to view it as a perfectly reliable test.Based on similar tests they have conducted in the past,they believe that if the metallurgical properties of the ore are actually High Grade,then the probability that this test will return "favorable" results is 0.95.If the metallurgical properties are Low Grade,the probability that this test will return "favorable" results is only 0.25.Otherwise,the test results will be considered "unfavorable".Given this information,what are the posterior probabilities that the ore will be a High Grade and Low Grade,given the core test report?