Three numbers are selected without replacement from {1,2,3,4,5,6,7} to form a 3- digit number. What is the probability that the number is greater than 531?
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.
Explanation:
It is given that three numbers are selected without replacement from {1, 2, 3, 4, 5, 6, 7}
The first digit must be 5, 6, or 7
If the first digit is 6 or 7 then then it will greater than 531
The probability of the first digit is 6 or 7 =
If the first digit is 5 then the second number must be 4, 6, or 7
Probability of first digit is 5 and other two digit is 4, 6, or 7 = =
The probability that first digit is 5, second digit is 3 and third digit is not 1. = =
The probability that the number is greater than 531 = + + = 0.3762
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