Question

A bag contains 3 red and 4 blue balls. If one ball is drawn at random, what is the probability that it is red?

• A. \( \frac{3}{7} \)
• B. \( \frac{4}{7} \)
• C. \( \frac{1}{3} \)
• D. \( \frac{2}{7} \)

Hint:

For probability questions, use \( P(\text{event}) = \frac{\text{favorable outcomes}}{\text{total outcomes}} \), ensuring all possible outcomes are counted.

Answer 1

The Correct Option is A

The bag contains 3 red and 4 blue balls, so the total number of balls is \( 3 + 4 = 7 \). 
The probability of drawing a red ball is: \[ P(\text{red}) = \frac{\text{number of red balls}}{\text{total number of balls}} = \frac{3}{7} \] Thus, the probability is: \[ \boxed{\frac{3}{7}} \]