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MUTUALLY EXCLUSIVE

P(A OR B) = P(A U B) = P(A) + P(B)

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NON-MUTUALLY EXCLUSIVE

P(A OR B) = P(A U B) = P(A) + P(B) – P(A ∩ B)

P(A ∩ B)

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P(A ∩ B’)

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P(A’ ∩ B)

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P(A’ ∩ B’)

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NON-MUTUALLY EXCLUSIVE

P(A OR B) = P(A U B) = P(A) + P(B) – P(A ∩ B)

P(A ∩ B)

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P(A’ ∩ B’)

P(A’ ∩ B)

P(A ∩ B’)

P(A ∩ B)

NON-MUTUALLY EXCLUSIVE (ALTERNATIVE 1)

P(A U B) = P(A ∩ B’) + P(A ∩ B) + P(A ∩ B’)

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P(A’ ∩ B’)

NON-MUTUALLY EXCLUSIVE (ALTERNATIVE 2)

P(A U B) = 1 - P(A’ ∩ B’)

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P(A’ ∩ B’)

P(A’ ∩ B)

P(A ∩ B’)

P(A ∩ B)

P(A) = P(A ∩ B’) + P(A ∩ B)

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P(A’ ∩ B’)

P(A’ ∩ B)

P(A ∩ B’)

P(A ∩ B)

P(B) = P(A ∩ B) + P(A ∩ B’)

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P(A’ ∩ B’)

P(A’ ∩ B)

P(A ∩ B’)

P(A ∩ B)

P(A’ U B ) = P(A ∩ B) + P(A ∩ B’) + P(A’ ∩ B’)

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P(A’ ∩ B’)

P(A’ ∩ B)

P(A ∩ B’)

P(A ∩ B)

P(A U B’ ) = P(A ∩ B’) + P(A ∩ B) + P(A’ ∩ B’)

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Exercise

2015 September Q3(b) – 8 marks
2016 March Q3(b) – 9 marks
2017 March Q3(b) – 6 marks