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60 % of students who apply to do masters in statistics have an undergraduate degree in statistics, 25% have an undergraduate degree in mathematics, and

60 % of students who apply to do masters in statistics have an undergraduate degree in statistics, 25% have an undergraduate degree in mathematics, and 15% an undergraduate degree is a program other than statistics or mathematics. The acceptance percentage is 85%, 75%, and 60% for statistics, mathematics, and other degree respectively.

  1. If an applicant is randomly selected, what is the probability he/she has a degree in mathematics and got accepted?
  2. If an applicant is randomlyselected, what is the probability he/she didn't get accepted?
  3. If an applicant is randomly selected and was found to be accepted, what is the probability he/she has an undergraduate degree from a program other than mathematics or statistics?

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