The spinner can land on one of four equal-sized sections: red, yellow, blue, or green. Since each section is of equal size, the probability of the spinner landing on any one section is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, the number of favorable outcomes for landing on blue is 1 (the blue section), and the total number of possible outcomes is 4 (the four sections).
Thus, the theoretical probability \( P \) of landing on blue is:
\[ P(\text{blue}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{4} \]
So, the theoretical probability that the spinner will land on blue is \( \frac{1}{4} \).
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