Probability: Choosing a Student from a Group

Probability: Choosing a Student from a Group

IP 1

In a certain school, students are grouped into Red house, Blue house and Green house. There is a group of students from different houses gathered in the school hall. A student is selected at random from the group. The probability of selecting a student from the Red house is \(\frac{1}{3}\). The probability of selecting a student from the Blue house is \(\frac{3}{8}\).

  1. Find the probability of selecting a student from Green house.
  2. If there are 24 students from Blue house, how many students are there in the group?

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Answer:(a) \(\frac7{24}\). (b) No feasible whole-student population: the blue data imply 64, incompatible with \(P(R)=\frac13\).

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