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(1) Consider the random experiment where three 6-sided dice are rolled and the number that comes...

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Statistics

(1) Consider the random experiment where three 6-sided dice arerolled and the number that comes up (1, 2, 3, 4, 5 or 6) on eachdie is observed.

(a) What is the size of the sample space S of this randomexperiment?

(b) Find the probability of event E1: “All three numbers rolledare the same.”

(c) Find the probability of event E2: “The sum of the threenumbers rolled is 5.”

(d) Find the probability of event E3: “At least one 6 isrolled.” (Hint: it may help to first find the probability of thecomplementary event.)

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