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

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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: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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