Question

A bag contains '4' black balls and '6' red balls. If one ball is drawn at random, then the probability of getting red ball is

• A. \(\frac 58\)
• B. \(\frac 35\)
• C. \(\frac 12\)
• D. \(\frac {1}{56}\)

Answer 1

The Correct Option is B

To solve the problem, we need to find the probability of getting a red ball when one ball is drawn at random from a bag containing 4 black balls and 6 red balls.

1. Understanding Total Outcomes:
The total number of balls = 4 (black) + 6 (red) = 10
So, the total number of possible outcomes = 10

2. Favourable Outcomes:
The favourable outcomes (getting a red ball) = 6

3. Apply the Probability Formula:
\[ \text{Probability} = \frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}} = \frac{6}{10} = \frac{3}{5} \]

Final Answer:
The probability of getting a red ball is \( \frac{3}{5} \).