Question

A bag contains 4 red and 5 blue balls. One ball is drawn at random. What is the probability that it is red?

• A. \(\frac{4}{9}\)
• B. \(\frac{5}{9}\)
• C. \(\frac{2}{9}\)
• D. \(\frac{1}{3}\)

Hint:

For probability problems, divide the number of favorable outcomes by the total number of possible outcomes.

Answer 1

The Correct Option is A

Given: \[ \text{Red balls} = 4, \quad \text{Blue balls} = 5, \quad \text{Total balls} = 4 + 5 = 9 \] Step 1: Probability Formula
The probability of an event is: \[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \] Step 2: Calculate Probability
The probability of drawing a red ball is: \[ P(\text{red}) = \frac{\text{Number of red balls}}{\text{Total balls}} = \frac{4}{9} \] Thus, the probability is: \[ \boxed{\frac{4}{9}} \]