Question: The difference between the binomial and uniform distributions. (a) You toss a fair (D_{12}) whose faces have values (1, ldots, 12). What is the probability

The difference between the binomial and uniform distributions.

(a) You toss a fair \(D_{12}\) whose faces have values \(1, \ldots, 12\). What is the probability of an outcome of 3 or less?

(b) You toss a fair coin 12 times. What is the probability of 3 or fewer heads? Why does this answer differ from the problem above?

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