Question

calculating probability
what is the probability of landing on an even number?
(write your final answer as a percentage.)
$p(event)=\square\\%$

Explanation:

Step1: Determine the total number of sections

The spinner is divided into 4 equal - sized sections. So, the total number of possible outcomes \(n = 4\).

Step2: Determine the number of favorable outcomes

The even - numbered sections are 2 and 4. So, the number of favorable outcomes \(m=2\).

Step3: Calculate the probability as a fraction

The probability formula is \(P=\frac{m}{n}\). Substituting \(m = 2\) and \(n = 4\), we get \(P=\frac{2}{4}=\frac{1}{2}\).

Step4: Convert the fraction to a percentage

To convert \(\frac{1}{2}\) to a percentage, we use the formula \(P(\text{percentage})=\frac{1}{2}\times100\%\).

$$P(\text{percentage})=\frac{1\times100}{2}\%=50\%$$

Answer:

\(50\)