To determine the denominator of the given probability fraction, let's analyze the components of the probability provided.
The probability of getting an even number (but not 0) is given as [tex]\(\frac{4}{10}\)[/tex].
In a probability fraction [tex]\(\frac{favorable \ outcomes}{total \ number \ of \ outcomes}\)[/tex], the numerator represents the number of favorable outcomes, and the denominator represents the total number of outcomes.
The denominator in this case is 10. This value represents the total number of possible outcomes on the game spinner.
Let's match this understanding with the given options:
A. The number of favorable outcomes – This is represented by the numerator (4 in this case), not the denominator.
B. The total number of outcomes – This is indeed represented by the denominator. Hence, the probability fraction's denominator (10) is the total number of outcomes.
C. The total number of outcomes minus the number of favorable outcomes – This would be incorrect because the denominator should represent the total number of outcomes, not any difference.
D. The number of favorable outcomes plus the total number of outcomes – This would combine the favorable outcomes with the total outcomes, which is not how probability fractions work.
Thus, the correct choice is:
B. the total number of outcomes.
