-The experiment is rolling five dice. Even E is {all five dice show different numbers}. a) What is n(S)? b) What is n(E)? c) What is p(E)?
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.
-The experiment is rolling five dice. Even E is {all five dice show different numbers}.
a) What is n(S)?
b) What is n(E)?
c) What is p(E)?
d) Describe the complement of E in words.
e) What n( E` )?
f) What is p(E` )?
Given that , the experiment is rolling five dice.
Hence , the total number of all possible outcomes in sample space S is .
event E : All five dice show different numbers.
a) The number of outcomes in sample space S is equal to n(S)=7776.
b) event E : All five dice show different numbers.
The number of possible outcomes in event E is
Since the possible number in outcomes are 1,2,3,4,5 and 6. We require five number from this six numbers. All are different number ,hence we use permutation.
Therefore n(E)=720
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