Question

a bag with 8 marbles has 4 yellow marbles and 4 blue marbles. a marble is chosen from the bag at random. what is the probability that it write your answer as a fraction in simplest form.

Explanation:

Step1: Determine the formula for probability

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).

Step2: Identify the number of favorable and total outcomes

The number of yellow marbles (favorable outcomes) is \(4\), and the total number of marbles is \(8\). So \(P(\text{yellow})=\frac{4}{8}\).

Step3: Simplify the fraction

Divide numerator and denominator by \(4\): \(\frac{4\div4}{8\div4}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)