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Four upper level undergraduate students are available to serve on a committee. Student Gender Year in school 1 M Junior 2 M Senior 3 F Junior 4 F Senior Two students will be selected at random to serve on the committee. Let A: The students selected are of the same gender. B: The students selected are the same year in school. Find the probability of A ? B . Give the exact answer in the form of fraction. Student Gender Year in school 1 M Junior 2 M Senior 3 F Junior 4 F Senior Solution A u B: the students selected are of the same gender, and are of the same year in school. This is impossible since there are no 2 females that are juniors or seniors, and no 2 males that are juniors or seniors. Hence the probability of both A and B at once = 0..

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Four upper level undergraduate students are available to serve on a committee. Student Gender Year in school 1 M Junior 2 M Senior 3 F Junior 4 F Senior Two students will be selected at random to serve on the committee. Let A: The students selected are of the same gender. B: The students selected are the same year in school. Find the probability of A ? B . Give the exact answer in the form of fraction. Student Gender Year in school 1 M Junior 2 M Senior 3 F Junior 4
F Senior Solution A u B: the students selected are of the same gender, and are of the same year in school. This is impossible since there are no 2 females that are juniors or seniors, and no 2 males that are juniors or seniors. Hence the probability of both A and B at once = 0.

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Four upper level undergraduate students are available to serve on a .pdf

  • 1. Four upper level undergraduate students are available to serve on a committee. Student Gender Year in school 1 M Junior 2 M Senior 3 F Junior 4 F Senior Two students will be selected at random to serve on the committee. Let A: The students selected are of the same gender. B: The students selected are the same year in school. Find the probability of A ? B . Give the exact answer in the form of fraction. Student Gender Year in school 1 M Junior 2 M Senior 3 F Junior 4
  • 2. F Senior Solution A u B: the students selected are of the same gender, and are of the same year in school. This is impossible since there are no 2 females that are juniors or seniors, and no 2 males that are juniors or seniors. Hence the probability of both A and B at once = 0.