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 blue or red? write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate the number of favorable outcomes

The number of blue marbles is \(2\), and the number of red marbles is \(3\). The number of favorable outcomes (blue or red) is \(2 + 3=5\).

Step2: Calculate the total number of outcomes

The total number of marbles in the bag is \(8\).

Step3: Use the probability formula

The probability \(P\) of an event is given by \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P=\frac{5}{8}\).

Answer:

\(\frac{5}{8}\)