Susan takes examinations in Mathematics, French, and History. The probability that she passes Mathematics is 0.7; the corresponding probabilities for French and History are 0.8 and 0.6. Given that her...

Susan takes examinations in Mathematics, French, and History. The probability that she passes Mathematics is 0.7; the corresponding probabilities for French and History are 0.8 and 0.6. Given that her performances in each subject are independent, draw a tree diagram to show the possible outcomes. Use this tree diagram to calculate the following probabilities: (a) fails all three examinations and (b) fails just one examination.