# Calculate the expected value

Calculators > 4/20/15 We are experiencing some issues with the site calculator below. As a temporary fix, please use the above calculator! Input the number. Find expected value based on calculated probabilities. How to Calculate an Expected Value. Expected value (EV) is a concept employed in statistics to help decide how beneficial or harmful an action might be.
Privacy policy About Wikipedia Disclaimers Contact Wikipedia Developers Cookie statement Mobile view. It may help to make a table of probabilities, as follows: To empirically estimate the expected value of a random variable, one repeatedly measures observations of the variable and computes the arithmetic mean of the results. In what follows we will see how to use the formula for expected value. In statistics and probability analysis, the EV is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur, and summing all of those values. The definition of conditional expectation would use inequalities, density functions, and integrals to replace equalities, mass functions, and summations, respectively. In classical mechanics , the center of mass is an analogous concept to expectation. We now turn to a continuous random variable, which we will denote by X. In this way, you can deluxe games to play online that the expected value is the future mean or mean in advance. They were very pleased by the fact that they had found essentially the same solution and this in turn made them absolutely convinced they had solved the problem conclusively. All text shared under a Creative Commons License. I am having a hard time understanding where the information goes. The idea of the expected value originated in the middle of the 17th century from the study of the so-called problem of pointswhich seeks to divide the stakes in a fair way between two players who have to end their game before it's properly finished. Assign those values for this example. If you have a discrete random variable , read this other article instead: Select the Correct Variable Type. This is in contrast to an unweighted average which would not take into account the probability of each outcome and weigh each possibility equally. The interpretation is that if you play many times, the average outcome is losing 17 cents per play. You would need to be provided with some additional information before you could calculate the probabilities in these examples. The values for all six possible outcomes are as follows: Because the probabilities that we are working with here are computed using the population, they are symbolized using lower case Greek letters. You may need to use a sample space The sample space for this problem is: Expected value is very important because it is a tool that allows us to predict future outcomes, such as the game show money winning we just went over.