Question

a bag with 10 marbles has 3 blue marbles, 2 yellow marbles, and 5 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.

Explanation:

Step1: Recall Probability Formula

Probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. So, \( P(\text{blue}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} \).

Step2: Identify Values

Number of blue marbles is 3, total number of marbles is 10.

Step3: Calculate Probability

Substitute the values into the formula: \( P(\text{blue}) = \frac{3}{10} \). Since 3 and 10 have no common factors other than 1, the fraction is in simplest form.

Answer:

\(\frac{3}{10}\)