Mathematics 10 — Exercise 12.1 · Q2

Full question

A teacher selects one boy from Hamid and Ahmad and one girl from Zainab and Samia. Draw a tree diagram and list all possible selections.

Step-by-step solution

  1. Treat choices in order. Each branch at one stage leads to EVERY possible choice at the next stage.

  2. Write one outcome for each complete root-to-leaf path; do not merge differently ordered outcomes.

  3. Multiply the numbers of choices at the stages to count all outcomes.

    2×2=4
Outcome
('Hamid', 'Zainab')
('Hamid', 'Samia')
('Ahmad', 'Zainab')
('Ahmad', 'Samia')

Answer

4 outcomes, listed below.

HamidAhmadZainab('Hamid', 'Zainab')Samia('Hamid', 'Samia')Zainab('Ahmad', 'Zainab')Samia('Ahmad', 'Samia')