Probabilities 1 (Note: Express your nal answer using four decimal places if needed)' . If a marble is randomly chosen from a bag that contains exactly 12 red marbles, 5 blue marbles, and 3 white marbles, what is the probability that the marble: a) Will be red? b) Will be blue? c) Will be white? (1) Will not be red? 6) Will be red or white? . Suppose that P(A) = 1/5, P(B) = 4/5, and P(A or B ) = 1/3. Are A and B disjoint events? What is the value of ? . Suppose that P(A) = 0.29, P(B) = 0.43, and P(A or B ) = 0.72. Are A and B disjoint events? What is the value of? . Which of the following values are NOT valid probability values: a) 0.0003 b) i 0.3 c) 64/66 d) 9/8 e) 2.6/2.59 . I have 8 books, 5 of which are good. If 3 books are randomly selected, what's the probability that the rst is not good, the second is good, and the third is not good? a) With replacement. b) Without replacement. . If you make random guesses for 7 multiple-choice test questions (each with four possible answers), what is the probability of getting at least 1 correct answer? . Suppose that the probability of correct functionality of an alarm clock is 0.64. What is the probability that at least one of 10 alarm clocks will function correctly? . Out of 100 people which are either tall or fat or both, 62 are tall, and 55 are fat. If I select one random person out of the 100 what is the probability, he is both tall and fat