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ollowing Venn diagram is for the six sample points possible when the event rolli

ID: 3323270 • Letter: O

Question

ollowing Venn diagram is for the six sample points possible when the event rolling an even number and let B be the event rolling a number greaber than 1. Which of the following events describes the event rolling a 17 roling a fair die. Let A be 43) 24 A)A B B) B C AC D) B s the Complmen Rak Provide an appropriate response. 44) Two events are if the occurrence if the oocurrence of event E in a probability4 probability of event F in the same experiment. 44)_ experiment does not affect the B) disjoint D) mutuailly exclusive C) independent ID: STATIDSS 5.314 Topic 45) True or False: Mutualy exclusive events are always independent 45) B) False A) True DSTATIDSS .31- opic Objective 53 Idanby independent wents Salve the problem. 46) Suppose that events E and F are independent, P(E)-0.7 and P(F) 02. What is the FE and F)? 46) A) 0.9 B) 0.76 C 014 D) 0.014 ID: STATID3.5.2 53) Use hMu 47) What is the probability that in three consecutive rolls of two fair dice, a person gets a total o 747) followed by a total of 11, followed by a total of 7? Round to the nearest ten-thousandth A) 0.0015 B) 0.1667 C 00012 D) 0.2876

Explanation / Answer

43) Option-D) Bc

44) Option-C) independent

45) Option-B) False

46) P(E and F) = P(E) * P(F) = 0.7 * 0.2 = 0.14

Option-C) 0.14

47) P(getting a total of 7) = 6/36 = 1/6

P(getting a total of 11) = 2/36 = 1/18

Probability = 1/6 * 1/18 * 1/6 = 0.0015

Option-A) 0.0015