Question

a bag with 8 marbles has 2 blue marbles, 3 red marbles, and 3 yellow marbles. a marble is chosen from the bag at random. what is the probability that it is not blue? write your answer as a fraction in simplest form.

Explanation:

Step1: Find number of non - blue marbles

There are 3 red and 3 yellow marbles. So, $3 + 3=6$ non - blue marbles.

Step2: Calculate probability

The probability $P$ of an event is $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total number of marbles is 8. So, $P=\frac{6}{8}$.

Step3: Simplify the fraction

$\frac{6\div2}{8\div2}=\frac{3}{4}$

Answer:

$\frac{3}{4}$