Mathematics
Expected Value Calculation
Quick fact
The expected value of a fair six-sided die roll is 3.5, even though no outcome actually equals that number.
Why this is interesting
Have you ever wondered why insurance companies charge premiums based on chance? It all starts with expected value calculation.
Read the full explanation
Understanding Expected Value Calculation
Expected value is like the average result you'd get if you could run an experiment many times. You multiply each possible outcome by its probability and then add them all up. This gives you a single number representing what you might expect on average.
A deeper explanation
The expected value calculation works by assigning weights to different outcomes based on their likelihood. It helps quantify the 'average' result of a random event, which is crucial for making predictions in fields like finance and statistics. The formula E(X) = Σ [xi P(xi)] shows how each outcome's contribution depends on its probability, leading to a balanced view of potential results.