d have balloons behind them. Once you select a door, the host of the game show, who knows exactly what is behind each of the door, randomly opens 275 of the other doors all at once that s/he for sure knows are losing doors and have balloons behind them. Then s/he reoffers you – whether you would like to switch to the other doors or keep your initial or original selection as before. Now in this case, you are going to make decision based on probabilistic reasoning. Therefore, whenever you are reoffered by the host to do the selections among the remaining unopened doors, what is the probability of winning for each of the remaining unopened doors (including your original selection)? Do you want to make a switch based on the probabilistic reasoning?
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.
Suppose you are a participant in a game show. You have a chance to win a motorbike. You are asked
to select one of the 300 doors to open; the motorbike is behind one of the 300 doors; the other remaining doors
are losers and have balloons behind them. Once you select a door, the host of the game show, who knows
exactly what is behind each of the door, randomly opens 275 of the other doors all at once that s/he for sure
knows are losing doors and have balloons behind them. Then s/he reoffers you – whether you would like to
switch to the other doors or keep your initial or original selection as before. Now in this case, you are going
to make decision based on probabilistic reasoning. Therefore, whenever you are reoffered by the host to do
the selections among the remaining unopened doors, what is the
remaining unopened doors (including your original selection)? Do you want to make a switch based on the
probabilistic reasoning? If you are switching, which door in particular do you want select later and why does
it matter?
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