QUESTION 6 If event A and B are independent with P (A) = 0.25 and P (B) = 0.60, then P (AIB) is 0.15. QUESTION 7 Suppose you roll a die with the sample space S = {1,2, 3, 4, 5, 6} and you define an event A = {1,2,3}. event B = {1,2, 3,5,6}, event C = {4,6} and event D = {4,5,6}. The probability denoted by P (B and D) is 0.33. QUESTION 8 Consider three students who wrote the examination for STA1501. The three students are Steve, John and Smith. Suppose that the lecturer has assigned the following probabilities: P(Steve passes) = 0.32, P(John passes) = 0.54 and P(Smith passes) = 0.73. The probability that either Steve or Smith fails is 0.2386. QUESTION 9 Consider an experiment that consists of rolling a sixsided die with the sample space S = {1, 2, 3, 4, 5, 6}. The probability thatatutor rolls an even number is {2, 4, 6}. QUESTION 10 According to the 2019 StatSA Census. 37% of women between ages of 25 and 34 have earned at least a college degree as compared with 30% of men in the same age group. The probability that a randomly selected woman between the ages of 25 and 34 does not have a college degree is 0.63. QUESTION 11 Catherine Ndlovu, a school senior contemplates her future immediately after graduation. She thinks there is a 25% change that she will join Boston School and teach English in South Africa for the next few years. Alternatively, she believes that there is a 35% change that she will enroll in a fulltime Law School program in the Madagascar. The probability that she does not choose either of these options is 0.60. QUESTION 12 An economist predicts a 60% chance that country A will perform poorly and a 25% chance that country B will perform poorly. There is also a probability of 0.64 that the country A performs poorly given that country B performs poorly. The probability that both countries will perform poorly is 0.384. QUESTION 13 Let P (A) = 0.65, P (B) = 0.30, and P (AlB) = 0.45. Events A and B are independent