Lying to a teacher. Suppose that 48% of high school students would admit to lying at least once to a teacher during the past year, and that 25% of students are male and would admit to lying at least once to a teacher during the past year.

Assume that 50% of the students are male. What is the probability that a randomly selected student is either male or is a liar?

Be sure to show your work and indicate all the rules that you use to find your answer.