Discussion
There are 03 number of ways to reach from A to B and 04 number of ways to reach from B to C. What is the percentage of number of ways to reach A to B to the total number of ways to reach from A to C?
Answer: A
The percentage is 25%.
Each of the 3 routes from A to B can be followed by any of the 4 routes from B to C, so the number of ways from A to C is the product:
\[ \begin{aligned} A \to C &= 3 \times 4 = 12 \\ \frac{3}{12} \times 100 &= 25\% \end{aligned} \]
300/7% (about 42.9%) comes from adding the routes (3 + 4 = 7) instead of multiplying them, the common error. 74% and 41% do not arise from the given numbers.
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