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 green is the same as the probability that it will point to yellow. the probability that the arrow will point to yellow is 0. 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.

Explanation:

Step1: Analyze probability formula

Probability of an event \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here total number of outcomes (sections) \(n = 5\).

Step2: Check each option

• For green and yellow: Green - section is larger than yellow. So \(P(\text{green})

eq P(\text{yellow})\).

• For yellow probability: Yellow - section exists, so \(P(\text{yellow})

eq0\).

• For red: Red - section is larger than \(\frac{1}{5}\) (since if all equal each is \(\frac{1}{5}\), but red is bigger).
• For yellow: Yellow - section is smaller than \(\frac{1}{5}\) (since if all equal each is \(\frac{1}{5}\), but yellow is smaller).

Answer:

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