Question

ariana is playing a game with a spinner like the one in the figure.

if the sections are congruent, what is the probability that the arrow on arianas spinner will land on a green section on her next two spins?
$\frac{1}{16}$
$\frac{1}{4}$
$\frac{1}{8}$
$\frac{1}{2}$

Explanation:

Step1: Count total sections

Count all congruent sections: $20$

Step2: Count green sections

Count green-colored sections: $4$

Step3: Find single spin green probability

Divide green sections by total sections:
$\frac{4}{20} = \frac{1}{5}$

Step4: Calculate two-spin probability

Multiply single spin probability by itself (independent events):
$\frac{1}{5} \times \frac{1}{5} = \frac{1}{25}$

Answer:

$\frac{1}{25}$ (matches the first option)