A box contains 3 blue balls and four green balls. Judith and Giles play a game with each taking a turn to take a ball from the box without replacement. The first player to get a green ball is the winner. 1) judith plays first. Find the probability that she wins. The game is now changed so that the ball chosen is replaced after each turn. Judith still plays first. 2) Determine whether the probability of Judith winning has changed.
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.
A box contains 3 blue balls and four green balls. Judith and Giles play a game with each taking a turn to take a ball from the box without replacement. The first player to get a green ball is the winner.
1) judith plays first. Find the probability that she wins.
The game is now changed so that the ball chosen is replaced after each turn. Judith still plays first.
2) Determine whether the probability of Judith winning has changed.
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