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 less than 1/4. the probability that the arrow will point to blue is 1/4. the probability that the arrow will point to yellow is the same as the probability that it will point to red.

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, total number of sections = 4.

Step2: Analyze blue - probability

The blue section is one of 4 sections, so $P(\text{blue})=\frac{1}{4}
eq1$.

Step3: Analyze yellow - probability

The yellow section is smaller than a quarter of the spinner, so $P(\text{yellow})<\frac{1}{4}$.

Step4: Analyze red - probability

The red section is larger than the yellow section, so $P(\text{yellow})
eq P(\text{red})$.

Answer:

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