Suppose that 65% of elderly South African women receive the Old Persons Grant. If an elderly South African woman receives the Old Persons Grant, the probability is 0.8 that she resides in a rural area; if an elderly South African woman does not receive the Old Persons Grant, the probability is 0.4 that she resides in a rural area. Use Bayes' rule to find the probability that an elderly South African woman receives the Old Persons Grant, if she resides in a rural area. (3)