Question

a spinner is divided into four sections, each in a different color, as shown below. after the spinner is spun, the arrow points to one of the colors. which statement about possible outcomes is true? the probability that the arrow will point to blue is 1. the probability that the arrow will point to yellow is the same as the probability that it will point to blue. the probability that the arrow will point to red is $\frac{1}{4}$. the probability that the arrow will point to green is less than $\frac{1}{4}$.

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, total number of outcomes is 4 (4 colors).

Step2: Analyze each option

• Option 1: The blue - section is not the whole spinner, so probability of blue is not 1.
• Option 2: The yellow and blue sections are not of equal size, so their probabilities are not equal.
• Option 3: The red - section is not one - fourth of the spinner, so probability of red is not $\frac{1}{4}$.
• Option 4: The green section is smaller than one - fourth of the spinner, so the probability that the arrow will point to green is less than $\frac{1}{4}$.

Answer:

The probability that the arrow will point to green is less than $\frac{1}{4}$.