माना दो घटनाएँ `A` तथा `B` इस प्रकार है कि `P(A)=1//4`, `P(B//A)=1//2`, `P(A//B)=1//4`, तब `P(barA//barB)` का मान होगा

Options

A. `1//4`
B. `3//4`
C. `1//2`
D. `2//3`

Answer

B

Explanation

दिया है ,
`P(A)=(1)/(4)`, `P((B)/(A))=(1)/(2)`, `P((A)/(B))=(1)/(4)`
`P((B)/(A))=(P(AnnB))/(P(A))`
`implies(1)/(2)=(P(AnnB))/(1//4)impliesP(AnnB)=(1)/(8)`
तथा `P(AuuB)=P(A)+P(B)-P(AnnB)`
`=(1)/(4)+(1)/(2)-(1)/(8)=(5)/(8)`
`:. P((barA)/(barB))=(1-P(AuuB))/(P(B))=(1-5//8)/(1-1//2)=(3//8)/(1//2)`
`impliesP((barA)/(barB))=(3)/(4)`