Consider the following distribution of gender and major of students in an introductory statistics class:

Female (social science major): 30; Female (non-social science): 20. Total female = 50.

Male (social science major): 30; Male (non-social science); 20. Total male = 50.

Total social science majors = 60. Total non-social science majors = 40. Grand total = 100 students.

1) What is the probability that a randomly selected students is a social science major?

2) What is the probability that a randomly selected student is a social science major given that they are female?

3) What is the probability that a randomly selected student is a female?

4) What is the probability that a randomly selected studetns is a female and social science major?

5) What is the probability that a randomly selected student is a male OR non-social science major?

Please show each step of how to get the correct answer, not only the right answer. I'm particularly interested in knowing the formula and steps for #5, the probability that a randomly selected student is a male OR non-social science major. How should I handle the probability that this student is male OR a non-social science major.

Thank you.