In a card game, there are 15 cards laid out on a table. 6 of the cards are blank, 2 of the cards are labeled $3, and the remaining cards are labeled $1. When you select a card at random, you earn what is labeled on the card. After each game, you return the card and the cards are shuffled. Suppose you play this game 10 times. How much money can you expect to gain?
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 card game, there are 15 cards laid out on a table. 6 of the cards are blank, 2 of the cards are labeled $3, and the remaining cards are labeled $1. When you select a card at random, you earn what is labeled on the card. After each game, you return the card and the cards are shuffled. Suppose you play this game 10 times. How much money can you expect to gain?
- Round to the nearest cent.
- Do not round until the final answer.
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