UIZ 3 Question 7. If event A and event B cannot occur jointly (simultaneously), P(A and B) = 0, and A and B are called mutually exclusive events. For this question, let the sample space contain gender Male or Female, and choose the statements which are true. P(Male or Female) = 0, or impossible P(Male and Female) < 0 P(Male and Female) = 0, or impossible P(Male and Female) > 0, or possible P(Male or Female) = 1, or certain Question 8. Toss 2 dice, and let the event be the sum of the values of the top faces. The possible outcomes are computed inside the following table at the intersection of the row of the "toss of 1st die" and the column of "toss of 2nd die": Because there are 36 outcomes, the probability of a sum = frequency of the sum/36. So, the probabilities of the sums are Sum Probability 2 1/36 3 2/36 4 3/36 5 4/36 6 5/36 7 6/36 8 5/36 9 4/36 10 3/36 11 2/36 12 1/36 Only one of the sums 2 through 12 can occur in a single toss of the dice. These are mutually exclusive events. The Simple Addition Rule P(A or B) = P(A) + P(B applies). Match the items on the left to the items on the right. 0.583 (1) 1. P(X is not 9) 0.000 (3) 2. P(X is not 9) 0.889 (2) 3. P(X = 1) Question 14. Two customers enter a store. Independently, they make decisions to purchase or not to purchase. The following diagram shows how the outcomes can occur and combine with red bolding of sequence Customer 1 does not purchase and Customer 2 does not purchase. The possible outcomes are shown on the right. If the event is the number of purchases, 3 events are possible: 0 purchases, 1 purchase, and 2 purchases. Which one rule applies to the sequence of independent outcomes of Customer 1 and Customer 2? General Multiplication Rule: P(A and B) = P(A) X P(B | A) General Addition Rule: P(A or B) = P(A) + P(B) - P(A and B) Simple Multiplication Rule: P(A and B) = P(A)*P(B) Simple Addition Rule: P(A or B) = P(A) + P(B)