Question

what is the probability of spinning a yellow?
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the fair spinner shown is spun 1 time. there are four possible outcomes, one for each color. based on the picture, which statements are true?

• the probability of each outcome is equal
• the probability of each outcome is different.
• the outcomes have a uniform probability distribution.
• the outcomes have a nonuniform distribution

Explanation:

Identify the sample space and favorable outcomes

Using the Theoretical Probability and Favorable Outcomes knowledge points
The spinner is divided into four equal sectors of different colors: yellow, blue, red, and green.
The total number of possible outcomes in the sample space is:

$$ n(S) = 4 $$

The number of favorable outcomes for spinning a yellow is:

$$ n(\text{yellow}) = 1 $$

Calculate the probability

Using the Theoretical Probability knowledge point
The probability \(P(\text{yellow})\) is the ratio of favorable outcomes to the total number of outcomes:

$$ P(\text{yellow}) = \frac{n(\text{yellow})}{n(S)} = \frac{1}{4} $$

The question asks for the numerator of the fraction over \(4\). Thus, the value to fill in the blank is \(1\).

Answer:

What is the probability of spinning a yellow?
<blank>1</blank>/4