Question

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

Explanation:

Step1: Find total non - yellow marbles

Total marbles = 8, yellow marbles = 2. So non - yellow marbles = 8 - 2 = 6.

Step2: Calculate probability

Probability of an event = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, favorable outcomes (non - yellow) = 6, total outcomes = 8. So probability = $\frac{6}{8}=\frac{3}{4}$ after simplifying (dividing numerator and denominator by 2).

Answer:

$\frac{3}{4}$