2. A company is looking for rare earth metals used in wind turbines. For a certain geographical area, it has been concluded that the probability is 0.40 that there are earth metals to mine. An additional seismological test is performed. If there are earth metals, the test indicates that this is the case with a probability of 0.85. If there are no earth metals, the test indicates this with a probability of 0.90. Calculate the probability that there are earth metals to mine if the test shows that this is the case