2. The probability that person A will become a math teacher in 25 years is 0.4 while the probability that person B will become a math teacher in 25 years is 0.6. a. What is the probability that they will both be math teachers in 25 years? (2 marks) b. What is the probability that person A will be a math teacher and person B will not be a math teacher in 25 years?

3. In Sarai's class, all students take math and English. According to her teachers, the probability that a student completes a mathematics assignment is 80% and the probability that a student completes an English assignment is 75%. The probability that a student completes both assignments is 70%. Are these events dependent or independent? Use a mathematical calculation to support your answer.

4. Suppose you have the following data after surveying a class of students. P (Pass the midterm) = 0.65 P (Study for the midterm) = 0.75 P (Study for the midterm and Pass the midterm) = 0.53 P (Do not pass the midterm, given they do not study) = 0.86 a. What is the probability that a student studied for the midterm, given that they passed? b. What is the probability that a student does not pass the midterm and does not study?

. Schools are more likely to close for the day if it is snowing outside. Suppose you have the following data for the month November. - The probability that it snows is 20%. - The probability that school closes and it does not snow is 1%. - The probability that a school does not close given that it snows is 85%. Answer the following two questions, i) What is the probability that a school will close? ii) What is the probability the school does not close, given that it does not snow?