Why is the fundamental counting principle used instead of a tree diagram for large problems?
ATrees give the wrong answer
BTrees need a calculator too
CToo many outcomes to list
DTrees cannot show two events
Answer & Solution
Correct answer: C. Too many outcomes to list
1. A tree diagram draws one branch for every possible outcome at every stage.
2. Three coin flips already produce eight end branches.
3. Six coin flips produce sixty four, and the drawing becomes impractical.
4. The counting principle multiplies the numbers of choices instead of drawing them.
5. A tree diagram gives the right answer when it can be drawn, so accuracy is not the issue.
_Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 10: Probability_
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