A college student is taking two courses. The probability she passes the first course is 0.71. The probability she passes the second course is 0.8. The probability she passes at least one of the courses is 0.97. (Give your answer to four decimal places.)
a. What is the probability she passes both courses?
b. Is the event she passes one course independent of the event that she passes the other course? FALSE (I know this)
c. What is the probability she does not pass either course (has two failing grades)?
d. What is the probability she does not pass both courses (does not have two passing grades)?
e. What is the probability she passes exactly one course? I
f. Given she passes the first course, what is the probability she passes the second?
g. Given she passes the first course, what is the probability she does not pass the second?