A fair six-sided die is rolled. What is the probability distribution of the outcomes?A.Uniform distributionB.Normal distributionC.Binomial distributionD.Poisson distribution
Question
A fair six-sided die is rolled. What is the probability distribution of the outcomes?A.Uniform distributionB.Normal distributionC.Binomial distributionD.Poisson distribution
Solution
The correct answer is A. Uniform distribution.
Explanation:
A. Uniform distribution - This is correct. Each outcome (1, 2, 3, 4, 5, 6) has an equal probability of 1/6 in a fair six-sided die roll. This is the definition of a uniform distribution.
B. Normal distribution - This is not correct. A normal distribution is a continuous probability distribution and it is not applicable to a die roll, which has discrete outcomes.
C. Binomial distribution - This is not correct. A binomial distribution describes the number of successes in a fixed number of independent Bernoulli trials with the same probability of success. It is not applicable to a single die roll.
D. Poisson distribution - This is not correct. A Poisson distribution models the number of times an event occurs in a fixed interval of time or space. It is not applicable to a single die roll.
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