Question

a spinner with 10 equally sized slices has 3 blue slices, 2 red slices, and 5 yellow slices. the dial is spun and stops on a slice at random. what is the probability that the dial stops on a blue slice? write your answer as a fraction in simplest form.

Explanation:

Step1: Recall Probability Formula

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

Step2: Identify Favorable and Total Outcomes

For the event of stopping on a blue slice, the number of favorable outcomes (blue slices) is 3. The total number of slices (possible outcomes) is 10.

Step3: Calculate Probability

Substitute into the formula: \( P(\text{blue}) = \frac{3}{10} \). Since 3 and 10 have no common factors other than 1, the fraction is in simplest form.

Answer:

\(\frac{3}{10}\)