# Naive Approach 1: Say A, B, C

Naive Approach 1: Say A, B, C are independent if
P (A ∩B ∩C) = P (A)P (B)P (C).
Suppose two six-sided dice are tossed and the outcome is noted. Let S denote
the sample space of this experiment.
i. Write down the set S explicitly. Consider the events
A = {(i, i) : i = 1, 2, 3, 4, 5, 6}, B = {(x, y) : 7 ≤x + y ≤10},
C = {(x, y) : x + y is 2 or 7 or 8}.
Write down the sets A, B, and C explicitly and calculate P (A), P (B), and
P (C).

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