Question

a bag with 10 marbles has 2 blue marbles, 4 red marbles, and 4 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.

Explanation:

Step1: Identify favorable and total outcomes

The number of favorable outcomes (blue marbles) is 2, and the total number of outcomes (total marbles) is 10.

Step2: Calculate probability

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{2}{10}$.

Step3: Simplify the fraction

$\frac{2}{10}=\frac{2\div2}{10\div2}=\frac{1}{5}$

Answer:

$\frac{1}{5}$