Question

A bag contains 3 red and 5 black balls. One ball is drawn out at random. The probability of it being a red ball will be

• A. $\dfrac{3}{8}$
• B. $\dfrac{5}{8}$
• C. $\dfrac{3}{5}$
• D. $\dfrac{1}{2}$

Hint:

In probability, always divide the number of favorable outcomes by the total number of possible outcomes.

Answer 1

The Correct Option is A

Step 1: Identify the total number of balls.
The bag contains 3 red balls and 5 black balls. \[ \text{Total balls} = 3 + 5 = 8 \] Step 2: Determine the favorable outcomes.
The favorable outcomes (drawing a red ball) = 3.
Step 3: Apply the probability formula.
\[ P(\text{Red ball}) = \dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \dfrac{3}{8} \] Step 4: Conclusion.
Hence, the probability of drawing a red ball is \(\dfrac{3}{8}\).