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Given the three event A,B and C which are partitioned of the sample space such that P(A)=3/4 ,P(B)=3P(C) Find P(B)
Q:

Given the three event A,B and C which are partitioned of the sample space such that P(A)=3/4 ,P(B)=3P(C) Find P(B)

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 Given the three event A,B and C which are partitioned of the sample space such that
P(A)=3/4   ,P(B)=3P(C)
Find   P(B)

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Since the three events are partitioned then:
P(A)+P(B)+P(C)=1
∴  3/4  P(A)+P(B)+3/12 P(B)=1
∴ 2 P(B)=1→P(B)=1/2
       And  P(A)=3/4 (1/2)=3/8   ,P(C)=1/4 (1/2)=1/8

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