In the game of tic tac toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic tac toe are played. What is the probability that at least one of them will end in a draw.
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 the game of tic tac toe, if all moves are performed randomly the
Solution:
Let X be the random variable that the game of tic tac toe will end in a draw.
The probability of the game of tic tac toe will end in a draw is p = 0.127
n= 6 rando sample of game
The random variable X has binomial distribution with parameters n= 6 and p = 0.127
The formula for binomial distribution is
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