a group of friends are playing a game using the following spinner. each of the colored sectors are the same…

a group of friends are playing a game using the following spinner. each of the colored sectors are the same size. if one of the friends takes a spin, what is the probability that the spinner will land on a black sector? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place.

a group of friends are playing a game using the following spinner. each of the colored sectors are the same size. if one of the friends takes a spin, what is the probability that the spinner will land on a black sector? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place.

Answer

Explanation:

Step1: Determine total and favorable outcomes

The spinner is divided into 4 equal - sized sectors. The total number of possible outcomes when spinning the spinner is $n = 4$. The number of black (favorable) sectors is $m = 1$.

Step2: Calculate probability as a fraction

The probability formula is $P=\frac{m}{n}$. Substituting $m = 1$ and $n = 4$, we get $P=\frac{1}{4}$.

Step3: Calculate probability as a decimal

To convert $\frac{1}{4}$ to a decimal, we divide 1 by 4: $1\div4 = 0.25$.

Step4: Calculate probability as a percentage

To convert the decimal to a percentage, we multiply by 100: $0.25\times100 = 25.00%$.

Answer:

Fraction: $\frac{1}{4}$, Decimal: $0.25$, Percentage: $25.00%$