Let A and B be two events such that `P (bar(AuuB))=1/6, P(AnnB)=1/4and P(barA)=1/4,where barA` stands for the complement of the event A. Then the even

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Let A and B be two events such that `P (bar(AuuB))=1/6, P(AnnB)=1/4and P(barA)=1/4,where barA` stands for the complement of the event A. Then the even

Let A and B be two events such that `P (bar(AuuB))=1/6, P(AnnB)=1/4and P(barA)=1/4,where barA` stands for the complement of the event A. Then the events A and B are
A. mutually exclusive and independent
B. equally likely but not independent
C. Independent but not equally likely
D. independent and equally likely

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`P (bar(AuuB))=1/6`
`P(AuuB)=5/6,P(A)=3/4`
`P(AuuB)-P(A)+P(B)-P(AnnB)=5/6`
`impliesP(B)=5/6-3/4+1/4=1/3`
`impliesP(AnnB)=P(A).P(B)=1/4`

4 views Answered 2023-02-05 15:29