A fair spinner is divided into 6 equal sections labeled 1 through 6. What is the probability of spinning an even number?

• A. $\frac{1}{3}$
• B. $\frac{1}{2}$
• C. $\frac{2}{3}$
• D. $\frac{5}{6}$

Answer: (B)

Verified step by step guidance

1. Identify the total number of equally likely outcomes on the spinner. Since the spinner is divided into 6 equal sections labeled 1 through 6, the total number of outcomes is 6.
2. Determine the favorable outcomes for the event 'spinning an even number.' The even numbers between 1 and 6 are 2, 4, and 6, so there are 3 favorable outcomes.
3. Write the probability formula for an event, which is the ratio of favorable outcomes to total outcomes: \(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
4. Substitute the values into the formula: \(\text{Probability} = \frac{3}{6}\).
5. Simplify the fraction \(\frac{3}{6}\) to its lowest terms to find the probability of spinning an even number.