Question

probability introduction to the probability of an event a bag with 8 marbles is shown below. (2 marbles are red, 3 are yellow, and 3 are blue.) a marble is chosen from the bag at random. what is the probability that it is red? write your answer as a fraction or a whole number

Explanation:

Step1: Recall probability formula

The probability of an event \( E \) is given by \( P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \).

Step2: Identify favorable and total outcomes

• Number of favorable outcomes (red marbles) \( = 2 \).
• Total number of possible outcomes (total marbles) \( = 8 \).

Step3: Calculate probability

Substitute into the formula: \( P(\text{red})=\frac{2}{8}=\frac{1}{4} \).

Answer:

\(\frac{1}{4}\)