a bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. a marble is chosen from the bag…

a bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow 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.

a bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow 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: Identify total and favorable outcomes

Total number of marbles is 6, number of blue marbles is 2.

Step2: Calculate probability

Probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, so $P = \frac{2}{6}$.

Step3: Simplify the fraction

$\frac{2}{6}=\frac{2\div2}{6\div2}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$