Two fair dice are rolled. What is the probability that the sum or product of the two numbers rolled is either 5 or 6?
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.
Given: Two fair dices are rolled.
Probability that the sum or product of the two number rolled is either 5 or 6:
Possible outcomes from a roll of die={1, 2, 3, 4, 5, 6}.
Number of possible outcomes from a roll of single die=6
Product of the two numbers rolled is either 5 or 6 can be given using the following cases:
Case 1: When the sum is 5:
The possible cases when the sum is 5 are: (1,4), (2,3), (3,2), (4,1).
So, favorable outcomes=4
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