Elective choices and non-participants

Elective choices and non-participants

Secondary 2
6 marks
TGM Original Questions

Each student chose at most one elective.

A class has 36 students: 20 boys and 16 girls. The table gives elective choices.

DanceRobotics
Girls\(8\)\(3\)
Boys\(6\)\(9\)

The remaining students chose neither elective.

  1. A student is selected at random from the class. Find the probability that the student
    1. is a girl,[1]
    2. is a boy choosing Dance,[1]
    3. chose Robotics,[1]
    4. is a girl who did not choose Dance.[1]
  2. One of the girls is selected at random. Find the probability that she chose neither elective.[2]

Solution:

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Answer:(a)(i) \(\frac{4}{9}\) (ii) \(\frac{1}{6}\) (iii) \(\frac{1}{3}\) (iv) \(\frac{2}{9}\) (b) \(\frac{5}{16}\).

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