# Calculate Expected Value Statistics

## Calculate Expected Value Statistics Site Contents

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## Calculate Expected Value Statistics Video

How To Calculate Expected Value Learn why people trust wikiHow. Expected value formula is used in order to calculate the average long-run value of the random variables available and according to the formula the probability of Wiesbadene Kurier the random values is multiplied by the respective probable random value and all the resultants are added together to derive the expected value. If you're trying to make money, is it in your interest to play the game? Because of the law of large numbersthe average value of the variable converges to the EV as the number of repetitions approaches infinity. Investopedia is part of the Dotdash publishing family. Add the numbers together, and divide the sum by the number of numbers. Article Summary X Darmstadt 98 Gegen Gladbach calculate an expected value, start by writing out all of the different possible outcomes. For example, EV applies well to gambling situations to describe expected results for thousands of gamblers per day, repeated day after day after day. Enter all Hamburg Casino Poker in numeric form Live Sport Ru separated them by commas. ## Calculate Expected Value Statistics How to Get Best Site Performance

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## Calculate Expected Value Statistics Video

Calculating Expected values and Chi Squared Values

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Related Terms Random Variable A random variable is a variable whose value is unknown, or a function that assigns values to each of an experiment's outcomes.

How Binomial Distribution Works The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values.

To answer a question like this we need the concept of expected value. The expected value can really be thought of as the mean of a random variable.

This means that if you ran a probability experiment over and over, keeping track of the results, the expected value is the average of all the values obtained.

The expected value is what you should anticipate happening in the long run of many trials of a game of chance. The carnival game mentioned above is an example of a discrete random variable.

The variable is not continuous and each outcome comes to us in a number that can be separated out from the others.

To find the expected value of a game that has outcomes x 1 , x 2 ,. Why 8 and not 10? This means that over the long run, you should expect to lose on average about 33 cents each time you play this game.

Yes, you will win sometimes. But you will lose more often. Now suppose that the carnival game has been modified slightly. In the long run, you won't lose any money, but you won't win any.

Don't expect to see a game with these numbers at your local carnival. Expected value EV is a concept employed in statistics to help decide how beneficial or harmful an action might be.

Knowing how to calculate expected value can be useful in numerical statistics, in gambling or other situations of probability, in stock market investing, or in many other situations that have a variety of outcomes.

To calculate an expected value, start by writing out all of the different possible outcomes. Then, determine the probability of each possible outcome and write them as a fraction.

Next, multiply each possible outcome by its probability. Finally, add up all of the products and convert your answer to a decimal to find the expected value.

If you want to learn how to calculate the expected value of an investment, keep reading the article! Did this summary help you? Yes No.

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Article Summary. Method 1 of Identify all possible outcomes. Calculating the expected value EV of a variety of possibilities is a statistical tool for determining the most likely result over time.

To begin, you must be able to identify what specific outcomes are possible. You should either list these or create a table to help define the results.

You need to list all possible outcomes, which are: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, in each of four different suits. Assign a value to each possible outcome.

Some expected value calculations will be based on money, as in stock investments. Others may be self-evident numerical values, which would be the case for many dice games.

In some cases, you may need to assign a value to some or all possible outcomes. Assign those values for this example.

Determine the probability of each possible outcome. Probability is the chance that each particular value or outcome may occur.

In some situations, like the stock market, for example, probabilities may be affected by some external forces. You would need to be provided with some additional information before you could calculate the probabilities in these examples.

In a problem of random chance, such as rolling dice or flipping coins, probability is defined as the percentage of a given outcome divided by the total number of possible outcomes.

However, recognize that there are four different suits, and there are, for example, multiple ways to draw a value of Since your list of outcomes should represent all the possibilities, the sum of probabilities should equal 1.

Multiply each value times its respective probability. Each possible outcome represents a portion of the total expected value for the problem or experiment that you are calculating.

To find the partial value due to each outcome, multiply the value of the outcome times its probability. Multiply the value of each card times its respective probability.

Find the sum of the products. The expected value EV of a set of outcomes is the sum of the individual products of the value times its probability.

Using whatever chart or table you have created to this point, add up the products, and the result will be the expected value for the problem.

Interpret the result.

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