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If PB=34,PABC¯=13 and PA¯BC¯=13, then PBC is

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a
112
b
16
c
115
d
19

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detailed solution

Correct option is A

Given that PB=34,PA∩B∩C¯=13PA¯∩B∩C¯=13.From Venn's diagram, we havePB∩C=PB−PA∩B∩C¯−PA¯∩B∩C¯=34−13−13=9−4−412=112


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