Question

hen solving probability problems using the Fundamental Counting​ Principle, I find it easier to reduce the probability fraction if I leave the numerator and denominator as products of numbers.
Question content area bottom
Part 1
Choose the correct answer below.
A.
The statement makes sense.
B.
The statement does not make sense. To reduce the​ fraction, first, the numerator and denominator must be fully simplified.
C.
The statement does not make sense. To reduce the​ fraction, first, the numerator must be fully simplified.
D.
The statement does not make sense. To reduce the​ fraction, first, the denominator must be fully simplified.

Answer 1

A.

Yes — it makes sense. If numerator and denominator are written as products you can cancel common factors directly (e.g. (3·4·5)/(6·5·2) → cancel 5 and reduce 4/6 to 2/3 → (3·2)/(3·2) etc.), so you do not need to multiply everything out first.