Question: The general addition rule for two events is presented in Formula 4.3 on page 175 and that for three events is displayed on page 177.

The general addition rule for two events is presented in Formula 4.3 on page 175 and that for three events is displayed on page 177.

Formula 4.3

If A and B are any two events, then

P(A or B) = P(A) + P(B) − P(A & B).

P(A or B or C) = P(A) + P(B) + P(C) − P(A & B) − P(A & C) − P(B & C) + P(A & B & C).

a. Verify the general addition rule for three events.

b. Write the general addition rule for four events and explain your reasoning.

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