correct At least one of the answers above is NOT correct (1 point) Two fair die
ID: 3353904 • Letter: C
Question
correct At least one of the answers above is NOT correct (1 point) Two fair die are tossed, and the uppermost face of each die is observed. The following events are defined from this random experiment: A represent the event the uppermost faces sum to five B represent the event that the product of the uppermost faces is four. For example, die! "die2 = 4 C represent the event that the absolute difference between the uppermost faces is 1. For example, Idie - die2l1 Part (a) Find the probability that the uppermost faces do not sum to five. 8/9 (Use four decimals in your answer) Part l) Find Puo5/0 (Use four decimals) Part (c) What is the probability that the uppermost faces do not sum to five or are not a product of 4? 31/36 ii (use four decimals) Part (d) Find PA n (BUC) 3/36 (use four decimals) Part (e) Are the events a sum of 5 and a product of 4 mutually exclusive events? Select the most appropriate reason below. A. A sum of 5 and a product of 4 are not mutually exclusive events because P(AnB) 0. OB. A sum of 5 and a product of 4 are mutually exclusive events because they are not independent events. C. A sum of 5 and a product of 4 are mutually exclusive events because P(A n B) = 0. D. A sum of 5 and a product of 4 are not mutually exclusive events because P(An B) P(A)P(B). E. A sum of 5 and a product of 4 are not mutually exclusive events because P(An B) P(A)P(B).Explanation / Answer
b)number of events in AUC ={(1,2),(2,1),(2,3),(3,2).(3.4),(4,3),(4,5),(5,4),(5,6),(6,5)} =10
P(AUC) =10/36 =5/18
c)probability =1-P(sum is five and product 4 )= 1-(2/36) =34/36 =17/18
d) P(An(BUC) )=4/36 =1/9
e) option A
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