Question

a bag with 6 marbles has 3 red marbles, 1 blue marble, and 2 yellow marbles. a marble is chosen from the bag at random. what is the probability that it is red? write your answer as a fraction in simplest form.

Explanation:

Step1: Identify total and red marbles

Total marbles: \( 6 \), Red marbles: \( 3 \)

Step2: Calculate probability

Probability \( = \frac{\text{Red marbles}}{\text{Total marbles}} = \frac{3}{6} \)

Step3: Simplify the fraction

Simplify \( \frac{3}{6} \) by dividing numerator and denominator by \( 3 \): \( \frac{3\div3}{6\div3} = \frac{1}{2} \)

Answer:

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