Probability Trees for Dependent Events

Probability Trees for Dependent Events

TGM Original

In a class of \(25\) students, \(14\) are boys and \(11\) are girls. A teacher selects a student at random from the class. Another student is selected at random from the remaining students.

  1. Copy and complete the tree diagram below.
  2. Find the probability that
    1. the first student selected is a girl, and the second student is a boy,
    2. only one of the two students selected is a girl,
    3. the second student selected is a boy.

Solution:

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Answer:(b)(i) 77/300; (b)(ii) 77/150; (b)(iii) 14/25.

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