Two balls are drawn from a bag containing \(2\) white balls and \(n\) red balls. If \(X\) denotes the number of white balls among the two drawn balls, what is the value of \(n\) such that the variance of \(X\) is \( \frac{1}{3} \)?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!