Question

a bag with 10 marbles has 3 yellow marbles, 2 blue marbles, and 5 red marbles. a marble is chosen from the bag at random. what is the probability that it is yellow?
write your answer as a fraction in simplest form.

Explanation:

Step1: Identify total & favorable outcomes

Total marbles: $10$, favorable (yellow): $3$

Step2: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$ = $\frac{3}{10}$

Step3: Simplify the fraction

$\frac{3}{10}$ is already in simplest form (3 and 10 share no common factors other than 1).

Answer:

$\frac{3}{10}$