Question

1. consider the spinner below. what is the probability of each outcome in the sample space? write each as a fraction, decimal, and a percent.

p(yellow) p(green) p(blue) p(red)
fraction
decimal
percent

Explanation:

Step1: Count total sections

The spinner has 12 equal - sized sections.

Step2: Calculate P(Yellow)

There are 2 yellow sections. So $P(\text{Yellow})=\frac{2}{12}=\frac{1}{6}\approx0.167 = 16.7\%$

Step3: Calculate P(Green)

There are 3 green sections. So $P(\text{Green})=\frac{3}{12}=\frac{1}{4}=0.25 = 25\%$

Step4: Calculate P(Blue)

There are 4 blue sections. So $P(\text{Blue})=\frac{4}{12}=\frac{1}{3}\approx0.333 = 33.3\%$

Step5: Calculate P(Red)

There are 3 red sections. So $P(\text{Red})=\frac{3}{12}=\frac{1}{4}=0.25 = 25\%$

Answer:

	Fraction	Decimal	Percent
P(Green)	$\frac{1}{4}$	0.25	25%
P(Blue)	$\frac{1}{3}$	0.333	33.3%
P(Red)	$\frac{1}{4}$	0.25	25%