Thirteen cards are dealth to a player from a standard 52 card deck. find the expected number of Aces. Also find the expected number of red kings.
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.
Thirteen cards are dealth to a player from a standard 52 card deck. find the expected number of Aces. Also find the expected number of red kings.
Given:
A standards deck of cards contains N=52 cards.
Number of cards to a player, n=13
a) To find the expected number of aces.
Total number of aces, n(A)=4
Probability of getting an ace card is,
Now, the expected number of aces is,
Hence, the expected number of aces from a deck of 52 cards is 1.
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