On the game show Let’s Make A Deal, the host Monty Hall would allow one contestant at the end of each show to choose one of three doors. Behind one of the doors was a prize and behind the other two were goats. Contestants would choose a door at random. Then, Monty Hall would open up one of the other doors and reveal a goat. He would then ask whether the contestant would like to switch doors. Suppose you are that contestant, you initially selected Door 1, and Monty Hall reveals a goat behind one of the other doors. Would you want to switch doors? To answer this, calculate the probability that your door has the prize given that the opened door does not
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.
On the game show Let’s Make A Deal, the host Monty Hall would allow one contestant at the end of each
show to choose one of three doors. Behind one of the doors was a prize and behind the other two were
goats. Contestants would choose a door at random. Then, Monty Hall would open up one of the other
doors and reveal a goat. He would then ask whether the contestant would like to switch doors. Suppose
you are that contestant, you initially selected Door 1, and Monty Hall reveals a goat behind one of the
other doors. Would you want to switch doors? To answer this, calculate the
the prize given that the opened door does not.
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