Question

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 red is more than 1/5. the probability that the arrow will point to yellow is 1/5. 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 0.

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, total number of sections = 5.

Step2: Analyze red - section

The red - section is larger than one - fifth of the spinner. So the probability of landing on red, $P(\text{red})>\frac{1}{5}$ since the number of favorable outcomes (landing on red) is non - zero and the red area is more than $\frac{1}{5}$ of the total area.

Step3: Analyze yellow - section

The yellow section is less than one - fifth of the spinner, so $P(\text{yellow})<\frac{1}{5}$. Also, since the yellow section exists, $P(\text{yellow})
eq0$.

Step4: Analyze green and yellow

The green and yellow sections have different sizes, so $P(\text{green})
eq P(\text{yellow})$.

Answer:

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