A research group surveyed 100 men and women about their preferences when it comes to taking classes at the local community college. 25 women said they preferred Business to Technology classes, 45 men preferred Technology classes, and 25 men preferred business classes.Be sure to show all work for your calculations. (10 points each)

1. Calculate the probability that a randomly selected participant would be female and enrolled in a technology class.
2. Calculate the probability that a randomly selected participant would be enrolled in a business class.
3. Calculate the probability that a randomly selected participant in a technology class would be a female.
4. Calculate the probability that a randomly selected participant would be a male business student.
5. Calculate the probability that a randomly selected participant would be male or in business.