Consider an experiment of rolling two dice. (a) Describe the corresponding sample space, which consists of 36 equally li

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Consider an experiment of rolling two dice.
(a) Describe the corresponding sample space, which consists of 36
equally likely outcomes.
(b) Determine the probability of the event A, where A = “the sum of
the two numbers is 7”.
(c) Determine the probability of the event B, where B = “the first
number is less than the second number”.
(d) Are the events A and B mutually exclusive?
(e) Calculate the probability of A ∪ B.