a bag with 6 marbles has 2 blue marbles, 1 yellow marble, and 3 red marbles. a marble is chosen from the bag…
a bag with 6 marbles has 2 blue marbles, 1 yellow marble, and 3 red marbles. a marble is chosen from the bag at random. what is the probability that it is blue? write your answer as a fraction in simplest form.
Answer
Explanation:
Step1: Calculate total number of marbles
$2 + 1+3=6$
Step2: Calculate probability of blue marble
The number of blue marbles is 2. Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{2}{6}$
Step3: Simplify the fraction
$\frac{2\div2}{6\div2}=\frac{1}{3}$
Answer:
$\frac{1}{3}$