Question: A circular spinner is divided into 14 sectors of equal area. There are 4 red sectors, 6 blue, 3…

A circular spinner is divided into 14 sectors of equal area. There are 4 red sectors, 6 blue, 3 yellow, and 1 green. Consider the experiment of spinning the spinner once. Find the probability that the spinner lands on green or red. … The probability that the spinner lands on green or red is . (Type an integer or a simplified fraction.)

Solution

The problem asks for the probability that the spinner lands on either a green or a red sector. First, find the total number of sectors. According to the problem, the spinner is divided into 14 sectors. Next, find the number of sectors that are either green or red. There are: 4 red sectors 1 green sector So, the total number of favorable sectors is: \[ 4 + 1 = 5 \] Calculate the probability by dividing the number of favorable outcomes by the total number of outcomes: \[ \frac{5}{14} \] The probability that the spinner lands on green or red is \(\frac{5}{14}\).