So there is 5 red and 6 white card. Suppose you draw two cards in succession without replacement, what is the probability that given the second card draw is white, the first one will be white.
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.
So there is 5 red and 6 white card. Suppose you draw two cards in succession without replacement, what is the probability that given the second card draw is white, the first one will be white.
From the given information, there are 5 red and 6 white cards. Here, two cards are drawn without replacement. The total number of cards is 11(=5+6).
The first white card is drawn from the 6 white cards is 6C1 ways without replacement.
The remaining white cards are 5. Hence, the second white card is drawn from 5 cards in 5C1 ways.
The first red card is drawn from the 5 red cards is 5C1 ways without replacement.
The second red card is drawn from the 6 white cards is 6C1 ways without replacement.
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