Question

use the spinner shown to answer the question. assume that it is equally probable that the pointer will land on any one of the colored regions. if the pointer lands on a borderline, spin again. if the spinner is spun once, find the probability that the pointer lands in a region that is blue or red.

Explanation:

Step1: Determine total number of regions

The spinner has 8 colored - regions.

Step2: Count favorable regions

There are 3 blue regions and 3 red regions. So, the number of favorable regions is \(3 + 3=6\).

Step3: Calculate probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, \(P = \frac{6}{8}=\frac{3}{4}\).

Answer:

\(\frac{3}{4}\)