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 1/3.
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: Analyze the probability of red

Since the spinner is divided into five sections, if each section were equal, the probability of each color would be \(\frac{1}{5}\). But the red section is larger than \(\frac{1}{5}\) of the spinner.

Step2: Analyze the probability of yellow

The yellow section is much smaller than \(\frac{1}{5}\) (so probability of yellow is not \(\frac{1}{3}\) and not \(0\) as it exists).

Step3: Analyze green - yellow probability comparison

The green section is larger than the yellow section, so their probabilities are not the same.

Answer:

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