A student who reads the text carefully has a probability of 90% of passing a course, while a student who does not read the text carefully has only a 20% chance of passing the course. Twenty five percent of students in a large class read their texts. One student is selected at random from this class. Find the probability that:

The student read the text carefully if he/she passed the course.

The student did not read the text carefully if he/she did not pass the course.

The student did not read the text carefully if he/she passed the course.