Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. a spinner is divided into five 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 green is the same as the probability that it will point to yellow. the probability that the arrow will point to yellow is \\(\frac{1}{5}\\). the probability that the arrow will point to red is more than \\(\frac{1}{5}\\). the probability that the arrow will point to yellow is 0.

Explanation:

Step1: Analyze equal probability condition

For a spinner with equal - sized sections, the probability of landing on each section is $\frac{1}{n}$, where $n$ is the number of sections. Here, $n = 5$. But from the diagram, the sections are not all equal - sized. The red section is larger than the yellow section, so the probability of landing on green and yellow is not the same.

Step2: Analyze yellow's probability

Since the yellow section is smaller than a $\frac{1}{5}$ - sized section (because the spinner is divided into 5 sections, but the yellow section is not equal to the others in size), the probability of landing on yellow is not $\frac{1}{5}$, and also not 0 (because yellow is a section on the spinner).

Step3: Analyze red's probability

The red section is larger than a $\frac{1}{5}$ - sized section (since the total number of sections is 5, and if all were equal, each would be $\frac{1}{5}$ of the spinner. But red's area is bigger than that of a $\frac{1}{5}$ - sized section), so the probability that the arrow will point to red is more than $\frac{1}{5}$.

Answer:

The probability that the arrow will point to red is more than $\frac{1}{5}$.