Question

marcus has a spinner with 3 red sections, 2 blue sections, and 1 purple section. match the event of landing on each color to the correct probability.
p(lands on red)
p(lands on purple)
p(lands on blue)
options: \\(\frac{1}{2}\\), \\(\frac{1}{3}\\), \\(\frac{1}{6}\\)

Explanation:

Step1: Calculate total sections

Total sections = 3 (red) + 2 (blue) + 1 (purple) = 6.

Step2: Find P(red)

Number of red sections = 3. Probability = $\frac{3}{6} = \frac{1}{2}$.

Step3: Find P(purple)

Number of purple sections = 1. Probability = $\frac{1}{6}$.

Step4: Find P(blue)

Number of blue sections = 2. Probability = $\frac{2}{6} = \frac{1}{3}$.

Answer:

• \( P(\text{lands on red}) \) matches \( \frac{1}{2} \)
• \( P(\text{lands on purple}) \) matches \( \frac{1}{6} \)
• \( P(\text{lands on blue}) \) matches \( \frac{1}{3} \)