Applying Conditional Probability to a Real-World Scenario
Gary Foshee created a popular probability puzzle that goes like this: "I have
two children. One is a boy born on a Tuesday. What is the probability I have
two boys?"
In this puzzle, knowing that one of Gary's children was born on a Tuesday is as
important as knowing that he has one boy. Assuming that having boys and
girls are equally likely and that births are equally likely on every day of the
week, what is the probability that Gary has two boys, given the available
information? (Hint: When Gary said that one is a boy born on a Tuesday, he
meant at least one child is a boy born on a Tuesday.)