(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.â€
(c) Find the probability of event E2: “The sum of the threenumbers rolled is 5.â€
(d) Find the probability of event E3: “At least one 6 isrolled.†(Hint: it may help to first find the probability of thecomplementary event.)
