Mathematics
Expected Value in Probability
Quick fact
The expected value of rolling a fair six-sided die is 3.5, even though no outcome actually equals that number.
Why this is interesting
Have you ever wondered why gambling houses always win in the long run? It's all about expected value, a hidden force behind chance and outcomes.
Read the full explanation
Understanding Expected Value in Probability
Imagine you're playing a game where you roll a die and get paid the amount shown. The expected value tells you what you'd win on average if you played many times. It's like averaging all possible outcomes weighted by how likely they are to happen.
A deeper explanation
Expected value is calculated by multiplying each outcome of a random event by its probability and then adding those values together. This gives the long-term average result, which helps in assessing risks or predicting trends without needing to observe every single trial.