her ability to solve math problelli nunity college show that 40% of first-year studente les. Records also show that the graduation rate of e 18 75%. Assuming that these two factors are ch other, what is the probability that a randomly graduate from the college? (2 marks) cluing dldle card in the second d) A person's height and his or her ability to solve 52. The enrolment records of a community college si live in one of the college's dormitories. Records als the first-year students at this college is 75%. Assum independent of each other, what is the proba year student a) lives in a dormitory and will graduate from the b) does not live in a dormitory but will gradua c) does not live in a dormitory and will not grad 53. Event A represents the act of drawing a rank of eight from a stand cards. a) If B represents the event of drawing any diamond after the first card has been replaced back into the deck, determine the probability of A and B. (2 marks) b) If B represents the event of drawing any face card (king, queen, or jack) without the first card being replaced back into the deck, determine the probability of A and B. (2 marks) a dormitory but will graduate from the college? (2 marks) ve in a dormitory and will not graduate from the college? (2 marks) 54. Sarah estimates that there is a 40% chance that she will be late for class misses the 8:30 bus. There is a 20% chance that she will miss the 8:30 bus on any given day. a) What is the probability that she will miss her bus tomorrow, but still be on time? (3 marks) b) If there is a 10% chance that Sarah will be late, even if she catches the 8:30 bus, what is the probability that she will be late on any given day