Question

give the probability that the spinner shown would land on (a) red, (b) yellow, and (c) green. assume all sectors of the spinner are the same size. (a) the probability that the spinner shown would land on red is (square). (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the total number of sectors

The spinner has 8 equal - sized sectors.

Step2: Determine the number of red sectors

There are 2 red sectors.

Step3: Calculate the probability of landing on red

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (red sectors) is 2 and the total number of outcomes (total sectors) is 8. So \(P=\frac{2}{8}=\frac{1}{4}\).

Answer:

\(\frac{1}{4}\)