Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1 million in another​ scratch-off game. In the first​ game, she beat odds of 1 in 4.2 million to win. In the​ second, she beat odds of 1 in 705,600.   ​(a) What is the probability that an individual would win​ $1 million in both games if they bought one​ scratch-off ticket from each​ game? ​(b) What is the probability that an individual would win​ $1 million twice in the second​ scratch-off game? ​(a) The probability that an individual would win​ $1 million in both games if they bought one​ scratch-off ticket from each game is   ​(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest tenth as​ needed.)

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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.