If A and B are mutually exclusive events, prove that P(A⁄B ̅ )=(P(A))/(1-P(B))

hamza

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2022-05-18

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If A and B are mutually exclusive events, prove that
P(A⁄B ̅ )=(P(A))/(1-P(B))

Mathematics, Statistics,

hamza

2022-05-18

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∵P(A⁄B ̅ )=(P(A∩B ̅))/(P(B ̅))=(P(A-B))/(1-P(B))=(P(A)-P(A∩B))/(1-P(B))
∵A,B mutually exclusive events→∴P(A∩B)=0
∴P(A⁄B ̅ )=(P(A))/(1-P(B))

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