Question

a spinner with 10 equally sized slices has 10 yellow slices. the dial is spun and stops on a slice at random. what is the probability that the dial stops on a yellow slice? write your answer as a fraction in simplest form.

Explanation:

Step1: Recall probability formula

The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes. So, \( P(\text{yellow}) = \frac{\text{Number of yellow slices}}{\text{Total number of slices}} \).

Step2: Identify values

The number of yellow slices is 10, and the total number of slices is also 10.

Step3: Calculate probability

Substitute the values into the formula: \( P(\text{yellow}) = \frac{10}{10} \). Simplify the fraction: \( \frac{10}{10} = 1 \) (or \( \frac{1}{1} \) in simplest form).

Answer:

\( \frac{1}{1} \) (or 1)