According to expected value, Tom's prediction that "A player will most likely get 17.5" is accurate.
What is expected value?
The expected value is the long-term average value of a random variable (also known as the expected value, expectation, average, or mean value). The probability-weighted average of all conceivable values is also shown. One frequently utilized financial notion is expected value.
In light of the query, a game is being created by Tom and Rosie.
The number of points a player receives on each turn is determined by rolling five 6-sided dice and adding the numbers that appear on each face.
Let X represent the total at a certain turn.
E(X)=17.5 is the expected value of X.
As known also as mean value, expected value i.e.
highest value of sum = 6+6+6+6+6 = 30
Lowest value of sum = 1+1+1+1+1 = 5
Therefore,
Mean = 30 + 5/2
mean = 17.5
Now,
Tom predicts that a player will likely receive 17.5.
According to the expected value, which is the mean value and is 17.5, this statement is accurate.
"Over 100 rotations, we can anticipate a total of roughly 175," explains Rosie.
According to anticipated value, this assertion is false because
anticipated value is 17.5
When the 100th turn occurs, it
17.5 * 100 = 1750
Therefore, according to expected value, Tom's statement that "A player will probably get 17.5" is accurate.
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