HIV and tuberculosis (TB) are two infections that often occur together in parts of Africa. In some areas, around 20 percent of adults have HIV, 40 percent have TB, and 15 percent have both. Suppose a...

HIV and tuberculosis (TB) are two infections that often occur together in parts of Africa. In some areas, around 20 percent of adults have HIV, 40 percent have TB, and 15 percent have both. Suppose a person is chosen at random from this population. What is the probability that the individual has HIV or TB?