. What is the probability of rolling all “4”s? (Give answer as fraction or decimal to 4 decimal places). b. What is the probability that all the dice come up the same number? (Give answer as fraction or decimal to 4 decimal places)
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.
Many people play a dice game in which 5 regular 6-sided dice are rolled.
a. What is the
b. What is the probability that all the dice come up the same number? (Give answer as fraction or decimal to 4 decimal places)
Consider X be the random variable representing the number of 6-sided dice among the 5 dices that shows 4.
X will follow binomial distribution with n= 5 and p = 1/6 ( probability of obtaining 4 on any particular die)
The probability of rolling all “4”s will be:
Thus, the required probability is 0.0001
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