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a) {3 Q (:3 (3 The multiplication rule for two events says P(A n B) = P(A) - P(B|A). Use the multiplication rule for two
a) {3 Q (:3 (3 The multiplication rule for two events says P(A n B) = P(A) - P(B|A). Use the multiplication rule for two events to prove the multiplication rule for three events: P(A n B n C) = P(A) - P(B|A) - P(C|(A n 3)). b) Q Q Q Q The general addition rule for any two events says: P(A U B) = P(A) + P(B) P(A D B). Use the general addition rule for two events to prove the general addition rule for three events: P(AUBLJC) =P(A)+P(B)+P(C)P(AnB)P(AnC)P(CB)+P(AnBC). c) 66 Draw a Venn diagram to illustrate the general addition rule for three events and explain the general addition rule for three events in terms of your diagram
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