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Sample space (20 points) Consider the experiment of tossing a fair coin three times. Define the
following events as: = exactly one head is observed at least one tail is observed. Write out the
sample space, Write out the outcomes which make up event A Write out the outcomes which
make up event Are the events A and B disjoint?
Solution
a)sample space={HHH,HHT,THH,HTH,TTH,THT,HTT,TTT}
b)A={HTT,THT,TTH}
c)AUB={HTT,THT,TTH,HTH,TTH.HTT,TTT}
d)Since A intersection B is A and its not empty so they are not disjoint

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Sample space (20 points) Consider the experiment of tossing a fair c.pdf

  • 1. Sample space (20 points) Consider the experiment of tossing a fair coin three times. Define the following events as: = exactly one head is observed at least one tail is observed. Write out the sample space, Write out the outcomes which make up event A Write out the outcomes which make up event Are the events A and B disjoint? Solution a)sample space={HHH,HHT,THH,HTH,TTH,THT,HTT,TTT} b)A={HTT,THT,TTH} c)AUB={HTT,THT,TTH,HTH,TTH.HTT,TTT} d)Since A intersection B is A and its not empty so they are not disjoint