Approximately 4000 years ago, a small number of people settled in areas of Finland and became separated from the rest of the population. These people reproduced, but due to the low number of people, it caused a loss of genetic diversity in the subsequent offspring, which caused many disorders to arise. These disorders are collectively known as Finnish heritage diseases. This event was so significant that even today, one in five Finnish people carry at least one gene related to a Finnish heritage disease. A man and a woman, both of Finnish heritage are aware of this, so they see a genetic counselor. They are interested in having a child but fear they may pass on a disease. They have their DNA analyzed and it comes back that they are both carriers for the recessive disease known as megaloblastic anemia, a type of anemia common in Finnish descent. Thankfully, if they have an affected child, it is treatable. a) What is the probability that, if they have a child, it will have megaloblastic anemia? b) Let’s say they decide to have three children total. What is the probability that all three children would have the disease? c) What is the probability that, if they have three children, none of them will have the disease?