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use the spinner shown to answer the question. assume that it is equally…

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 brown region. the probability that the pointer lands in a brown region is . (type an integer or a simplified fraction.)

Explanation:

Step1: Count total regions

Count the total number of colored regions on the spinner. There are 12 regions.

Step2: Count brown - colored regions

Count the number of brown - colored regions. There are 3 brown regions.

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, the number of favorable outcomes (pointer landing on brown) is 3 and the total number of outcomes is 12. So $P = \frac{3}{12}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$