Question

A bag contains 3 red and 3 white balls. Two balls are drawn one by one. The probability that they are of different colours is

• A. \(\frac{3}{10}\)
• B. \(\frac{2}{5}\)
• C. \(\frac{3}{5}\)
• D. None of these

Hint:

Different colours = one red and one white.

Answer 1

The Correct Option is C

Step 1: Total ways \(= {6 \choose 2}=15\).
Step 2: Ways of different colours: \[ {3 \choose 1}{3 \choose 1}=9 \]
Step 3: \[ P=\frac{9}{15}=\frac{3}{5} \]