Question

a bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4 blue marbles. a marble is chosen from this bag at random. what is the probability that it is red? write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate total number of marbles

Total marbles = \(5 + 3+4=12\)

Step2: Calculate number of red marbles

Number of red marbles = \(5\)

Step3: Use probability formula

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)
So \(P=\frac{5}{12}\)

Answer:

\(\frac{5}{12}\)