Question

a bag contains 6 marbles, of which 3 are green.
what is the probability that a randomly selected marble will be green?
write your answer as a fraction or whole number.
p(green) =

Explanation:

Step1: Recall the probability formula

The probability formula is \(P(\text{event})=\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}\).

Step2: Identify the number of favorable and total outcomes

The number of green marbles (favorable outcomes) is \(3\), and the total number of marbles (total outcomes) is \(6\).

Step3: Calculate the probability

Substitute the values into the formula: \(P(\text{green})=\frac{3}{6}\). Simplify the fraction \(\frac{3}{6}=\frac{1}{2}\).

Answer:

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