State whether the following statements are true or false. QUESTION 1 Consider tossing a die and let S denote the set of all possible numerical observations for a single toss of a die. Suppose A = (2, 4), then the complement event A" (or A') is . QUESTION 2 Suppose that A and B are two events. The expression that describes both events to occur is "A or B". QUESTION 3 Suppose that you are given an event A with probability of the event denoted by P(A), then P (A) is always greater or equal to 0. QUESTION 4 Consider two events A and B that are independent, then P (A and B) = 0. QUESTION 5 If an event A does not occur, then the complement event A will not occur. 2 STA1501/012/0/2022 QUESTION 6 If event A and B are independent with P (4) = 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