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1. Given that P(A) =.P(B) = and P(AOB) = find P(AUB)

1. Given that P(A) =.P(B) = and P(AOB) = find P(AUB)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Probability Assessment 1 1. Given that P(Ã) =,P(B) = , and P(An B)= find P(AU B) 2. The pupils in a class were asked how many brothers and sister they had. Their answers are shown in the table: No. brothers & sisters 01 2 34 5 No. pupils 5 10 9 3 2 I If a child is chosen at random find the probability that there are 3 children in their family. 3. Two dice are thrown simultaneously and their scores are multiplied. P(n) denotes that probability that score n is obtained a) draw a possibility space diagram to represent the data Calculate: b) P(10) c) P(25) d) P(27) e) Given that P(t) =, find the possible values of t. 4. Events A and B are such that a) Find P(B|A) b) Find P(BnA) c) Are events A and B exhaustive? 5. I travel to work via route D or route E. The probability that I choose route D is 0.3 and the probability that I am late for work if I choose route D is 0.7, the corresponding probability if I go via route E is 0.2 a) What is the probability that I will be late for work tomorrow? b) Given that I am late for work, what is the probability that I go via route E? 6. Three people Ali, Brian and Charlie arrange to meet in a bar on campus. Ali cannot remember whether they agreed to meet in Origins or Mungo's and flips a coin to decide. Brian also flips a coin to decide between Mungo's and K-bar. Charlie flips a coin to decide whether to go to K-bar or not, in the latter case he flips again to decide between Origins and Mungo's. a) Draw one probability tree diagram to represent all the information. Find the probability that: b) Ali and Brian meet c) Brian and Charlie meet d) All 3 meet e) All 3 go to different places f) At least 2 of them meet.
Transcribed Image Text:Probability Assessment 1 1. Given that P(Ã) =,P(B) = , and P(An B)= find P(AU B) 2. The pupils in a class were asked how many brothers and sister they had. Their answers are shown in the table: No. brothers & sisters 01 2 34 5 No. pupils 5 10 9 3 2 I If a child is chosen at random find the probability that there are 3 children in their family. 3. Two dice are thrown simultaneously and their scores are multiplied. P(n) denotes that probability that score n is obtained a) draw a possibility space diagram to represent the data Calculate: b) P(10) c) P(25) d) P(27) e) Given that P(t) =, find the possible values of t. 4. Events A and B are such that a) Find P(B|A) b) Find P(BnA) c) Are events A and B exhaustive? 5. I travel to work via route D or route E. The probability that I choose route D is 0.3 and the probability that I am late for work if I choose route D is 0.7, the corresponding probability if I go via route E is 0.2 a) What is the probability that I will be late for work tomorrow? b) Given that I am late for work, what is the probability that I go via route E? 6. Three people Ali, Brian and Charlie arrange to meet in a bar on campus. Ali cannot remember whether they agreed to meet in Origins or Mungo's and flips a coin to decide. Brian also flips a coin to decide between Mungo's and K-bar. Charlie flips a coin to decide whether to go to K-bar or not, in the latter case he flips again to decide between Origins and Mungo's. a) Draw one probability tree diagram to represent all the information. Find the probability that: b) Ali and Brian meet c) Brian and Charlie meet d) All 3 meet e) All 3 go to different places f) At least 2 of them meet.
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