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 blue)
p(lands on purple)

Explanation:

Step1: Calculate total sections

Total sections = \(3 + 2+1=6\)

Step2: Calculate probability for red

Number of red sections = \(3\). Probability \(P(\text{lands on red})=\frac{3}{6}=\frac{1}{2}\)

Step3: Calculate probability for blue

Number of blue sections = \(2\). Probability \(P(\text{lands on blue})=\frac{2}{6}=\frac{1}{3}\)

Step4: Calculate probability for purple

Number of purple sections = \(1\). Probability \(P(\text{lands on purple})=\frac{1}{6}\)

Answer:

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