Mohan post a letter to Sohan. It is known that one letter out of `10 `letters do not reach its destination. If it is certain that Sohan will reply if

Monjur Alahi

Mohan post a letter to Sohan. It is known that one letter out of `10 `letters do not reach its destination. If it is certain that Sohan will reply if he receives the letter. If `A` denotes the event that the Sohan receives the letter and `B` denotes the event that Mohan gets a reply, then
A. `P(B)=(81)/(100)`
B. `P(AnnB)=(81)/(100)`
C. `P((A)/(barB))=(9)/(19)`
D. `P(AuuB)=(9)/(10)`


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Salim Ahmed Kawsar

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Correct Answer - A::B::C::D
`(a,b,c,d)` `P(A)=(9)/(10)`
`P(B)=P(AnnB)=(9)/(10)xx(9)/(10)=(81)/(100)`
`P((A)/(B))=(P(AnnbarB))/(P(barB))=((9)/(10)xx(1)/(10))/(1-(81)/(100))=(9)/(19)`
`P(AuuB)=P(A)+P(B)-P(AnnB)=(9)/(10)`

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