If events a, B and C are independent, then a, B and C are independent of each other, right

If events a, B and C are independent, then a, B and C are independent of each other, right

Let a probability space have four basic events (1, 2, 3, 4) whose probabilities are all 1 / 4 (for example, suppose a regular tetrahedral die). Take event a = {1, 2}, B = {2, 3}, C = {1, 3}. Then p (a) = P (b) = P (c) = 1 / 2. And P (AB) = P (2) = 1 / 4 = P (a) P (b)

Is the formula (a + b) △ C = a △ C + B △ C OK?

Let AB be 10 and C be 5
that
20/5=10/5+10/5
four

|A-c | + | B + C | - | A-B |, a and B0, a > b, simplify this formula

|a-c|+|b+c|-|a-b|,
∵ A and B0, a > b,
∴a-c＜0;b+c＜0;a-b＞0;
Original formula = c-a-b-c - (a-b)
=-2a-2b;
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