In the game of blackjack as played in the casinos, the dealer has the advantage. The probability of the average player winning is 0.45 and can be model with a Binomial random variable.
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.
3. In the game of blackjack as played in the casinos, the dealer has the advantage. The
a) Find the
b) Find the probability that the average player will win exactly 4 games.
Given data:
The given probability of winning is p=0.45.
The numbers of games played are n=5.
a)
The expression for the expected value is,
Substitute the given values in the above expression.
Thus, the expected value when 5 games were played is 2.25.
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