In a game, a fair die is rolled and the player wins $1 if a 1 is rolled, wins $2 if a 6 is rolled, and loses $1 otherwise. Calculate the expected value of the winnings/losses of this game
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In a game, a fair die is rolled and the player wins $1 if a 1 is rolled, wins $2 if a 6 is rolled, and loses $1 otherwise. Calculate the
Let X denote the net gain
The net gain and its probability are shown in the table
|
x |
P(X) |
XP(X) |
|
1 |
1/6 |
0.167 |
|
2 |
1/6 |
0.333 |
|
-1 |
4/6 |
-0.667 |
|
|
|
Sum = -0.167 |
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