A and B are playing a coin-tossing game with a fair coin. If the coin lands on heads, B will give A one coin. If the coin lands on tails, A will give Ba coin. A has 500 coins and B starts with 50 coins. The game is played until either A or B loses all the capital. (a) What is the probability that B wins the game? (b) Suppose the coin is not fair. Let p be the probability that B wins and individual toss. What should p be so that the game is fair, i.e., the probability for B to win the game is 1/2?

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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.