Tom and Mary take turns rolling a pair of dice, with Tom going first. Tom's goal is to obtain a sum of 3, while Mary's goal is to obtain a sum of 4. The game ends when either player reaches his goal, and the one reaching the goal is the winner. (a) What is the probability that Tom is the winner? (b) What is the expected number of rolls until the game ends?
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.
Tom and Mary take turns rolling a pair of dice, with Tom going first. Tom's goal is to obtain a sum of 3, while Mary's goal is to obtain a sum of 4.
The game ends when either player reaches his goal, and the one reaching the goal is the winner.
(a) What is the
(b) What is the expected number of rolls until the game ends?
(c) If Mary goes first, what is the probability that Tom will win?
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