
Explain like I'm five
Imagine you're learning to throw darts. If you always throw exactly the same way (high bias), you might miss the bullseye consistently. If you change your throw wildly based on every gust of wind (high variance), you'll hit all over the place. The best throw balances a steady technique with adapting just enough to hit the target.

Why it matters
It matters because every machine learning model must choose between being too simple (underfitting) or too complex (overfitting). You encounter it when tuning models like decision trees or neural networks to get the best predictions on new data.

Common misconception
People often think you can minimize both bias and variance at the same time. In reality, reducing one typically increases the other, so you must find a sweet spot.

Formal definition
Bias is the error from approximating a real-world problem with a simplified model, leading to underfitting. Variance is the error from sensitivity to small fluctuations in the training set, leading to overfitting. The tradeoff states that as model complexity increases, bias decreases but variance increases, and the total error is minimized at an intermediate complexity.